What is the Greatest Common Factor of 88524 and 88532?

Greatest common factor (GCF) of 88524 and 88532 is 4.

GCF(88524,88532) = 4

We will now calculate the prime factors of 88524 and 88532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88524 and 88532.

How to find the GCF of 88524 and 88532?

We will first find the prime factorization of 88524 and 88532. After we will calculate the factors of 88524 and 88532 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 88532

Prime factors of 88532 are 2, 22133. Prime factorization of 88532 in exponential form is:

88532 = 2² × 22133¹

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 88532

List of positive integer factors of 88532 that divides 88524 without a remainder.

1, 2, 4, 22133, 44266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88524 and 88532. The biggest common factor number is the GCF number.
So the greatest common factor 88524 and 88532 is 4.

Also check out the Least Common Multiple of 88524 and 88532