What is the Greatest Common Factor of 89632 and 89636?

Greatest common factor (GCF) of 89632 and 89636 is 4.

GCF(89632,89636) = 4

We will now calculate the prime factors of 89632 and 89636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89632 and 89636.

How to find the GCF of 89632 and 89636?

We will first find the prime factorization of 89632 and 89636. After we will calculate the factors of 89632 and 89636 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 89636

Prime factors of 89636 are 2, 22409. Prime factorization of 89636 in exponential form is:

89636 = 2² × 22409¹

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 89636

List of positive integer factors of 89636 that divides 89632 without a remainder.

1, 2, 4, 22409, 44818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89632 and 89636. The biggest common factor number is the GCF number.
So the greatest common factor 89632 and 89636 is 4.

Also check out the Least Common Multiple of 89632 and 89636