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The greatest common factor of 42 and 45 is 3.
Method 1: Listing Factors List all the factors of both numbers and the highest factor that is the same is the greatest common factor.
Factors of 42: 1, 2, 3, 6, 7, 14, 21
Factors of 45: 1, 3, 5, 9, 15
The greatest common factor is 3.
Method 2: Prime Factorization
Find the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.
42=2*3*7
45=3*3*5
42 and 45 share one 3. Therefore, the greatest common factor is 3.
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The factors of 53 are:
1, 53
The Greatest Common Factor (GCF) is:
1
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What is the gcf of 72 an 44?
GCF(72, 44) = 4.
What is the GCF of 36 and 44?
The GCF is 4.
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