What is the Greatest Common Factor of 89624 and 89639?

Greatest common factor (GCF) of 89624 and 89639 is 1.

GCF(89624,89639) = 1

We will now calculate the prime factors of 89624 and 89639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89624 and 89639.

How to find the GCF of 89624 and 89639?

We will first find the prime factorization of 89624 and 89639. After we will calculate the factors of 89624 and 89639 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 89639

Prime factors of 89639 are 11, 29, 281. Prime factorization of 89639 in exponential form is:

89639 = 11¹ × 29¹ × 281¹

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 89639

List of positive integer factors of 89639 that divides 89624 without a remainder.

1, 11, 29, 281, 319, 3091, 8149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89624 and 89639. The biggest common factor number is the GCF number.
So the greatest common factor 89624 and 89639 is 1.

Also check out the Least Common Multiple of 89624 and 89639