What is the Greatest Common Factor of 89508 and 89517?

Greatest common factor (GCF) of 89508 and 89517 is 3.

GCF(89508,89517) = 3

We will now calculate the prime factors of 89508 and 89517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89508 and 89517.

How to find the GCF of 89508 and 89517?

We will first find the prime factorization of 89508 and 89517. After we will calculate the factors of 89508 and 89517 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 89517

Prime factors of 89517 are 3, 53, 563. Prime factorization of 89517 in exponential form is:

89517 = 3¹ × 53¹ × 563¹

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 89517

List of positive integer factors of 89517 that divides 89508 without a remainder.

1, 3, 53, 159, 563, 1689, 29839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89508 and 89517. The biggest common factor number is the GCF number.
So the greatest common factor 89508 and 89517 is 3.

Also check out the Least Common Multiple of 89508 and 89517