What is the Greatest Common Factor of 89624 and 89638?

Greatest common factor (GCF) of 89624 and 89638 is 2.

GCF(89624,89638) = 2

We will now calculate the prime factors of 89624 and 89638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89624 and 89638.

How to find the GCF of 89624 and 89638?

We will first find the prime factorization of 89624 and 89638. After we will calculate the factors of 89624 and 89638 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 89638

Prime factors of 89638 are 2, 44819. Prime factorization of 89638 in exponential form is:

89638 = 2¹ × 44819¹

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 89638

List of positive integer factors of 89638 that divides 89624 without a remainder.

1, 2, 44819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89624 and 89638. The biggest common factor number is the GCF number.
So the greatest common factor 89624 and 89638 is 2.

Also check out the Least Common Multiple of 89624 and 89638