What is the Greatest Common Factor of 88524 and 88538?

Greatest common factor (GCF) of 88524 and 88538 is 2.

GCF(88524,88538) = 2

We will now calculate the prime factors of 88524 and 88538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88524 and 88538.

How to find the GCF of 88524 and 88538?

We will first find the prime factorization of 88524 and 88538. After we will calculate the factors of 88524 and 88538 and find the biggest common factor number .

Step-1: Prime Factorization of 88524

Prime factors of 88524 are 2, 3, 2459. Prime factorization of 88524 in exponential form is:

88524 = 2² × 3² × 2459¹

Step-2: Prime Factorization of 88538

Prime factors of 88538 are 2, 44269. Prime factorization of 88538 in exponential form is:

88538 = 2¹ × 44269¹

Step-3: Factors of 88524

List of positive integer factors of 88524 that divides 88524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2459, 4918, 7377, 9836, 14754, 22131, 29508, 44262

Step-4: Factors of 88538

List of positive integer factors of 88538 that divides 88524 without a remainder.

1, 2, 44269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88524 and 88538. The biggest common factor number is the GCF number.
So the greatest common factor 88524 and 88538 is 2.

Also check out the Least Common Multiple of 88524 and 88538