What is the Greatest Common Factor of 97120 and 97140?

Greatest common factor (GCF) of 97120 and 97140 is 20.

GCF(97120,97140) = 20

We will now calculate the prime factors of 97120 and 97140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97120 and 97140.

How to find the GCF of 97120 and 97140?

We will first find the prime factorization of 97120 and 97140. After we will calculate the factors of 97120 and 97140 and find the biggest common factor number .

Step-1: Prime Factorization of 97120

Prime factors of 97120 are 2, 5, 607. Prime factorization of 97120 in exponential form is:

97120 = 2⁵ × 5¹ × 607¹

Step-2: Prime Factorization of 97140

Prime factors of 97140 are 2, 3, 5, 1619. Prime factorization of 97140 in exponential form is:

97140 = 2² × 3¹ × 5¹ × 1619¹

Step-3: Factors of 97120

List of positive integer factors of 97120 that divides 97120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 607, 1214, 2428, 3035, 4856, 6070, 9712, 12140, 19424, 24280, 48560

Step-4: Factors of 97140

List of positive integer factors of 97140 that divides 97120 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1619, 3238, 4857, 6476, 8095, 9714, 16190, 19428, 24285, 32380, 48570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97120 and 97140. The biggest common factor number is the GCF number.
So the greatest common factor 97120 and 97140 is 20.

Also check out the Least Common Multiple of 97120 and 97140