What is the Greatest Common Factor of 89136 and 89144?

Greatest common factor (GCF) of 89136 and 89144 is 8.

GCF(89136,89144) = 8

We will now calculate the prime factors of 89136 and 89144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89136 and 89144.

How to find the GCF of 89136 and 89144?

We will first find the prime factorization of 89136 and 89144. After we will calculate the factors of 89136 and 89144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89144

Prime factors of 89144 are 2, 11, 1013. Prime factorization of 89144 in exponential form is:

89144 = 2³ × 11¹ × 1013¹

Step-3: Factors of 89136

List of positive integer factors of 89136 that divides 89136 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

Step-4: Factors of 89144

List of positive integer factors of 89144 that divides 89136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89136 and 89144. The biggest common factor number is the GCF number.
So the greatest common factor 89136 and 89144 is 8.

Also check out the Least Common Multiple of 89136 and 89144