What is the Greatest Common Factor of 89596 and 89612?

Greatest common factor (GCF) of 89596 and 89612 is 4.

GCF(89596,89612) = 4

We will now calculate the prime factors of 89596 and 89612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89596 and 89612.

How to find the GCF of 89596 and 89612?

We will first find the prime factorization of 89596 and 89612. After we will calculate the factors of 89596 and 89612 and find the biggest common factor number .

Step-1: Prime Factorization of 89596

Prime factors of 89596 are 2, 13, 1723. Prime factorization of 89596 in exponential form is:

89596 = 2² × 13¹ × 1723¹

Step-2: Prime Factorization of 89612

Prime factors of 89612 are 2, 43, 521. Prime factorization of 89612 in exponential form is:

89612 = 2² × 43¹ × 521¹

Step-3: Factors of 89596

List of positive integer factors of 89596 that divides 89596 without a remainder.

1, 2, 4, 13, 26, 52, 1723, 3446, 6892, 22399, 44798

Step-4: Factors of 89612

List of positive integer factors of 89612 that divides 89596 without a remainder.

1, 2, 4, 43, 86, 172, 521, 1042, 2084, 22403, 44806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89596 and 89612. The biggest common factor number is the GCF number.
So the greatest common factor 89596 and 89612 is 4.

Also check out the Least Common Multiple of 89596 and 89612