What is the Greatest Common Factor of 89132 and 89136?

Greatest common factor (GCF) of 89132 and 89136 is 4.

GCF(89132,89136) = 4

We will now calculate the prime factors of 89132 and 89136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89132 and 89136.

How to find the GCF of 89132 and 89136?

We will first find the prime factorization of 89132 and 89136. After we will calculate the factors of 89132 and 89136 and find the biggest common factor number .

Step-1: Prime Factorization of 89132

Prime factors of 89132 are 2, 22283. Prime factorization of 89132 in exponential form is:

89132 = 2² × 22283¹

Step-2: Prime Factorization of 89136

Prime factors of 89136 are 2, 3, 619. Prime factorization of 89136 in exponential form is:

89136 = 2⁴ × 3² × 619¹

Step-3: Factors of 89132

List of positive integer factors of 89132 that divides 89132 without a remainder.

1, 2, 4, 22283, 44566

Step-4: Factors of 89136

List of positive integer factors of 89136 that divides 89132 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 619, 1238, 1857, 2476, 3714, 4952, 5571, 7428, 9904, 11142, 14856, 22284, 29712, 44568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89132 and 89136. The biggest common factor number is the GCF number.
So the greatest common factor 89132 and 89136 is 4.

Also check out the Least Common Multiple of 89132 and 89136