Grade 6 · Math

6th grade Greatest common factor, least common multiple worksheet

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Greatest common factor, least common multiple

Grade 6 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Bo helps pack 84 notebooks and 60 folders into identical supply kits, with nothing left over. What is the greatest number of kits Bo can make?
Esme has 90 red ribbons and 75 blue ribbons for gift bags. Every bag gets the same number of each color, with none left over. What is the greatest number of bags Esme can fill?
Kira watches two trains leave the station together at 7:00 a.m. One leaves every 8 minutes and the other every 12. After how many minutes do they leave together for the second time after 7:00?
Milo has a swimming lesson every 6 days and a piano lesson every 12 days, both today. After how many days will Milo have both on the same day for the second time from today?
Ren plans a trip for 36 younger students and 45 older students. Each group has the same number of each, with as many groups as possible. How many older students are in each group?
Juice boxes come in packs of 10 and cookies in packs of 12. Bo buys the fewest of each to have one cookie per juice box. How many packs of cookies does Bo buy?
Pens come in packs of 6 and markers in packs of 12. Esme buys the fewest of each to have the same number of pens and markers. How many packs of pens does Esme buy?
Jun rewrites a sum. Write 90 + 54 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?
Kira rewrites a sum. Write 56 + 98 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?
Luz rewrites a sum. Write 90 + 36 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

6th grade Greatest common factor, least common multiple worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Greatest common factor, least common multiple. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can list the factor pairs of two numbers and find the greatest factor they share.
I can list multiples of two numbers and find the first one they share.
I can write a sum like 36 + 8 as 4(9 + 2) by taking out the greatest common factor.

Standard: 6.NS.B.4

Words to know

factor: A number that divides another number with nothing left over. 3 is a factor of 12.

factor pair: Two factors that multiply to make a number. 3 × 4 is a pair for 12.

multiple: What you get when you multiply a number by 1, 2, 3 and so on.

common factor: A factor that two numbers share.

greatest common factor (GCF): The biggest factor that two numbers share.

least common multiple (LCM): The first multiple that two numbers share.

parentheses: Marks round a sum. In 4(9 + 2), the 4 multiplies the whole sum.

Common mistakes

Your child mixed up the greatest common factor with the least common multiple.

Your child multiplied the two numbers to get the least common multiple. Try listing the multiples of both numbers side by side and stopping at the first number that is in both lists.

Your child gave a common factor that is not the greatest one. Try listing all the factors of both numbers, circling the ones in both lists, and reading to the end of the list for the biggest.

What to say

Ask: which one do you find by counting up (multiples), and which one by splitting a number into factors?

Questions parents ask

What is the most common mistake with greatest common factor, least common multiple?

Your child mixed up the greatest common factor with the least common multiple.

How can I help my child with greatest common factor, least common multiple?

Ask: which one do you find by counting up (multiples), and which one by splitting a number into factors?

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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