\[12,30\]
Method 1: By Listing Factors
1
List the factors of each number.
Factors of 12
: 1, 2, 3, 4, 6, 12
Factors of 30
: 1, 2, 3, 5, 6, 10, 15, 30
2
Find the largest number that is shared by all rows above. This is the GCF.
GCF = 66

Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 12
: 2, 2, 3
Prime Factors of 30
: 2, 3, 5
2
Find the intersection of these primes.
2,32,3

3
Multiply these numbers: 2×3=62\times 3=6. This is the GCF.
GCF = 66

Done
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