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

NameDate

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

Esme races the clock on a number puzzle. What is the greatest common factor of 28 and 42?
Kira follows a map clue. What is the greatest common factor of 60 and 24?
Luz reads a puzzle card. What is the greatest common factor of 27 and 45?
Noah follows a map clue. What is the least common multiple of 4 and 9?
Ren copies a clue from the board. What is the least common multiple of 3 and 9?
Bo sets up 36 chairs in the front section and 48 in the back. Every row has the same number of chairs in both sections. What is the greatest number of chairs in one row?
Kira waters the plants every 4 days and cleans the fish tank every 7 days. Kira does both today. In how many days will Kira next do both on the same day?
8.
Ren picks a card. Which expression is 42 + 28 with the greatest common factor taken out?
- 2(21 + 14)
- 14(3 + 2)
- 14(3 + 28)
- 6(7 + 28)
9.
Tala picks a card. Which expression is 36 + 54 with the greatest common factor taken out?
- 4(9 + 54)
- 18(2 + 54)
- 18(2 + 3)
- 2(18 + 27)
10.
Zee picks a card. Which expression is 45 + 75 with the greatest common factor taken out?
- 15(3 + 75)
- 3(15 + 25)
- 15(3 + 5)
- 9(5 + 75)

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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