What is the Greatest Common Factor of 89529 and 89538?

Greatest common factor (GCF) of 89529 and 89538 is 3.

GCF(89529,89538) = 3

We will now calculate the prime factors of 89529 and 89538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89529 and 89538.

How to find the GCF of 89529 and 89538?

We will first find the prime factorization of 89529 and 89538. After we will calculate the factors of 89529 and 89538 and find the biggest common factor number .

Step-1: Prime Factorization of 89529

Prime factors of 89529 are 3, 11, 2713. Prime factorization of 89529 in exponential form is:

89529 = 3¹ × 11¹ × 2713¹

Step-2: Prime Factorization of 89538

Prime factors of 89538 are 2, 3, 14923. Prime factorization of 89538 in exponential form is:

89538 = 2¹ × 3¹ × 14923¹

Step-3: Factors of 89529

List of positive integer factors of 89529 that divides 89529 without a remainder.

1, 3, 11, 33, 2713, 8139, 29843

Step-4: Factors of 89538

List of positive integer factors of 89538 that divides 89529 without a remainder.

1, 2, 3, 6, 14923, 29846, 44769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89529 and 89538. The biggest common factor number is the GCF number.
So the greatest common factor 89529 and 89538 is 3.

Also check out the Least Common Multiple of 89529 and 89538