What is the Greatest Common Factor of 88524 and 88539?

Greatest common factor (GCF) of 88524 and 88539 is 3.

GCF(88524,88539) = 3

We will now calculate the prime factors of 88524 and 88539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88524 and 88539.

How to find the GCF of 88524 and 88539?

We will first find the prime factorization of 88524 and 88539. After we will calculate the factors of 88524 and 88539 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 88539

Prime factors of 88539 are 3, 11, 2683. Prime factorization of 88539 in exponential form is:

88539 = 3¹ × 11¹ × 2683¹

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 88539

List of positive integer factors of 88539 that divides 88524 without a remainder.

1, 3, 11, 33, 2683, 8049, 29513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88524 and 88539. The biggest common factor number is the GCF number.
So the greatest common factor 88524 and 88539 is 3.

Also check out the Least Common Multiple of 88524 and 88539