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Greatest Common Factor GCF

A common factor is a whole number that is a

factor of two or more nonzero whole numbers.

The GREATEST COMMON FACTOR (GCF) can be found two

ways.

1. Listing factors of two numbers and finding

the largest one they have in common.2. Prime

factorization.

List the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

List the factors of 96

1,2,3,4,6,8,12,16,24,32,48,96 find the common

factors

List the factors of 601,2,3,4,5,6,10,12,15,20,3

0,60List the factors of 961,2,3,4,6,8,12,16,24

,32,48,96find the largest factor 12

or do prime factorization. Circle all the

primes the 2 numbers have in common and multiply

one set of them to get your GCF.

96

60

48

2

2

30

24

2

15

2

12

2

3

5

6

2

2 x 2 x 3 12

2

3

Finding GCF By Making a List

Find the GCF of 48 and 24 Factors of 48 1, 2,

3, 4, 6, 8, 12, 16, 24, 48 Factors of 24 1, 2,

3, 4, 6, 8, 12, 24

Find GCF Through Prime Factorization

48 24 12 4 12

2 3 4 2 2 6 2

2 2 3 2 483 x 2 x 2 x 2 x 2

243 x 2 x 2 x 2 GCF 3 x 23 3

x 8 24, so 24 is the GCF

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