\[\frac{6}{2}\]

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Examples

Find the Greatest Common Factor (GCF) of

6,2

Method 1: By Listing Factors

List the factors of each number.

Factors of 6

: 1, 2, 3, 6

Factors of 2

: 1, 2

Find the largest number that is shared by all rows above. This is the GCF.

GCF =

2

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 6

: 2, 3

Prime Factors of 2

: 2

Find the intersection of these primes.

2

The intersection contains only one number. Therefore, this is the GCF.

GCF =

2

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2

Divide both the numerator and the denominator by the GCF.

\frac{6\div 2}{2\div 2}

Simplify.

3

Done

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