What is the Greatest Common Factor of 89624 and 89637?

Greatest common factor (GCF) of 89624 and 89637 is 1.

GCF(89624,89637) = 1

We will now calculate the prime factors of 89624 and 89637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89624 and 89637.

How to find the GCF of 89624 and 89637?

We will first find the prime factorization of 89624 and 89637. After we will calculate the factors of 89624 and 89637 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89637

Prime factors of 89637 are 3, 29879. Prime factorization of 89637 in exponential form is:

89637 = 3¹ × 29879¹

Step-3: Factors of 89624

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

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

Step-4: Factors of 89637

List of positive integer factors of 89637 that divides 89624 without a remainder.

1, 3, 29879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89624 and 89637. The biggest common factor number is the GCF number.
So the greatest common factor 89624 and 89637 is 1.

Also check out the Least Common Multiple of 89624 and 89637