What is the Greatest Common Factor of 89120 and 89140?

Greatest common factor (GCF) of 89120 and 89140 is 20.

GCF(89120,89140) = 20

We will now calculate the prime factors of 89120 and 89140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89120 and 89140.

How to find the GCF of 89120 and 89140?

We will first find the prime factorization of 89120 and 89140. After we will calculate the factors of 89120 and 89140 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 89140

Prime factors of 89140 are 2, 5, 4457. Prime factorization of 89140 in exponential form is:

89140 = 2² × 5¹ × 4457¹

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 89140

List of positive integer factors of 89140 that divides 89120 without a remainder.

1, 2, 4, 5, 10, 20, 4457, 8914, 17828, 22285, 44570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89120 and 89140. The biggest common factor number is the GCF number.
So the greatest common factor 89120 and 89140 is 20.

Also check out the Least Common Multiple of 89120 and 89140