What is the Greatest Common Factor of 89120 and 89135?

Greatest common factor (GCF) of 89120 and 89135 is 5.

GCF(89120,89135) = 5

We will now calculate the prime factors of 89120 and 89135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89120 and 89135.

How to find the GCF of 89120 and 89135?

We will first find the prime factorization of 89120 and 89135. After we will calculate the factors of 89120 and 89135 and find the biggest common factor number .

Step-1: Prime Factorization of 89120

Prime factors of 89120 are 2, 5, 557. Prime factorization of 89120 in exponential form is:

89120 = 2⁵ × 5¹ × 557¹

Step-2: Prime Factorization of 89135

Prime factors of 89135 are 5, 17827. Prime factorization of 89135 in exponential form is:

89135 = 5¹ × 17827¹

Step-3: Factors of 89120

List of positive integer factors of 89120 that divides 89120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 557, 1114, 2228, 2785, 4456, 5570, 8912, 11140, 17824, 22280, 44560

Step-4: Factors of 89135

List of positive integer factors of 89135 that divides 89120 without a remainder.

1, 5, 17827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89120 and 89135. The biggest common factor number is the GCF number.
So the greatest common factor 89120 and 89135 is 5.

Also check out the Least Common Multiple of 89120 and 89135