What is the Greatest Common Factor of 74657 and 74672?

Greatest common factor (GCF) of 74657 and 74672 is 1.

GCF(74657,74672) = 1

We will now calculate the prime factors of 74657 and 74672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74657 and 74672.

How to find the GCF of 74657 and 74672?

We will first find the prime factorization of 74657 and 74672. After we will calculate the factors of 74657 and 74672 and find the biggest common factor number .

Step-1: Prime Factorization of 74657

Prime factors of 74657 are 11, 617. Prime factorization of 74657 in exponential form is:

74657 = 11² × 617¹

Step-2: Prime Factorization of 74672

Prime factors of 74672 are 2, 13, 359. Prime factorization of 74672 in exponential form is:

74672 = 2⁴ × 13¹ × 359¹

Step-3: Factors of 74657

List of positive integer factors of 74657 that divides 74657 without a remainder.

1, 11, 121, 617, 6787

Step-4: Factors of 74672

List of positive integer factors of 74672 that divides 74657 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 359, 718, 1436, 2872, 4667, 5744, 9334, 18668, 37336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74657 and 74672. The biggest common factor number is the GCF number.
So the greatest common factor 74657 and 74672 is 1.

Also check out the Least Common Multiple of 74657 and 74672