What is the Greatest Common Factor of 89508 and 89521?

Greatest common factor (GCF) of 89508 and 89521 is 1.

GCF(89508,89521) = 1

We will now calculate the prime factors of 89508 and 89521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89508 and 89521.

How to find the GCF of 89508 and 89521?

We will first find the prime factorization of 89508 and 89521. After we will calculate the factors of 89508 and 89521 and find the biggest common factor number .

Step-1: Prime Factorization of 89508

Prime factors of 89508 are 2, 3, 7459. Prime factorization of 89508 in exponential form is:

89508 = 2² × 3¹ × 7459¹

Step-2: Prime Factorization of 89521

Prime factors of 89521 are 89521. Prime factorization of 89521 in exponential form is:

89521 = 89521¹

Step-3: Factors of 89508

List of positive integer factors of 89508 that divides 89508 without a remainder.

1, 2, 3, 4, 6, 12, 7459, 14918, 22377, 29836, 44754

Step-4: Factors of 89521

List of positive integer factors of 89521 that divides 89508 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89508 and 89521. The biggest common factor number is the GCF number.
So the greatest common factor 89508 and 89521 is 1.

Also check out the Least Common Multiple of 89508 and 89521