What is the Greatest Common Factor of 89607 and 89624?

Greatest common factor (GCF) of 89607 and 89624 is 17.

GCF(89607,89624) = 17

We will now calculate the prime factors of 89607 and 89624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89607 and 89624.

How to find the GCF of 89607 and 89624?

We will first find the prime factorization of 89607 and 89624. After we will calculate the factors of 89607 and 89624 and find the biggest common factor number .

Step-1: Prime Factorization of 89607

Prime factors of 89607 are 3, 7, 17, 251. Prime factorization of 89607 in exponential form is:

89607 = 3¹ × 7¹ × 17¹ × 251¹

Step-2: Prime Factorization of 89624

Prime factors of 89624 are 2, 17, 659. Prime factorization of 89624 in exponential form is:

89624 = 2³ × 17¹ × 659¹

Step-3: Factors of 89607

List of positive integer factors of 89607 that divides 89607 without a remainder.

1, 3, 7, 17, 21, 51, 119, 251, 357, 753, 1757, 4267, 5271, 12801, 29869

Step-4: Factors of 89624

List of positive integer factors of 89624 that divides 89607 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 659, 1318, 2636, 5272, 11203, 22406, 44812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89607 and 89624. The biggest common factor number is the GCF number.
So the greatest common factor 89607 and 89624 is 17.

Also check out the Least Common Multiple of 89607 and 89624