\[\frac{1125}{3}\]

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Examples

Find the Greatest Common Factor (GCF) of

1125,3

Method 1: By Listing Factors

List the factors of each number.

Factors of 1125

: 1, 3, 5 ... 225, 375, 1125

Factors of 3

: 1, 3

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

GCF =

3

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 1125

: 3, 3, 5, 5, 5

Prime Factors of 3

: 3

Find the intersection of these primes.

3

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

GCF =

3

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3

Divide both the numerator and the denominator by the GCF.

\frac{1125\div 3}{3\div 3}

Simplify.

375

Done

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