What is the Greatest Common Factor of 89632 and 89638?

Greatest common factor (GCF) of 89632 and 89638 is 2.

GCF(89632,89638) = 2

We will now calculate the prime factors of 89632 and 89638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89632 and 89638.

How to find the GCF of 89632 and 89638?

We will first find the prime factorization of 89632 and 89638. After we will calculate the factors of 89632 and 89638 and find the biggest common factor number .

Step-1: Prime Factorization of 89632

Prime factors of 89632 are 2, 2801. Prime factorization of 89632 in exponential form is:

89632 = 2⁵ × 2801¹

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 89632

List of positive integer factors of 89632 that divides 89632 without a remainder.

1, 2, 4, 8, 16, 32, 2801, 5602, 11204, 22408, 44816

Step-4: Factors of 89638

List of positive integer factors of 89638 that divides 89632 without a remainder.

1, 2, 44819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89632 and 89638. The biggest common factor number is the GCF number.
So the greatest common factor 89632 and 89638 is 2.

Also check out the Least Common Multiple of 89632 and 89638