What is the Greatest Common Factor of 89572 and 89588?

Greatest common factor (GCF) of 89572 and 89588 is 4.

GCF(89572,89588) = 4

We will now calculate the prime factors of 89572 and 89588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89572 and 89588.

How to find the GCF of 89572 and 89588?

We will first find the prime factorization of 89572 and 89588. After we will calculate the factors of 89572 and 89588 and find the biggest common factor number .

Step-1: Prime Factorization of 89572

Prime factors of 89572 are 2, 7, 457. Prime factorization of 89572 in exponential form is:

89572 = 2² × 7² × 457¹

Step-2: Prime Factorization of 89588

Prime factors of 89588 are 2, 22397. Prime factorization of 89588 in exponential form is:

89588 = 2² × 22397¹

Step-3: Factors of 89572

List of positive integer factors of 89572 that divides 89572 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 457, 914, 1828, 3199, 6398, 12796, 22393, 44786

Step-4: Factors of 89588

List of positive integer factors of 89588 that divides 89572 without a remainder.

1, 2, 4, 22397, 44794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89572 and 89588. The biggest common factor number is the GCF number.
So the greatest common factor 89572 and 89588 is 4.

Also check out the Least Common Multiple of 89572 and 89588