What is the Greatest Common Factor of 97120 and 97130?

Greatest common factor (GCF) of 97120 and 97130 is 10.

GCF(97120,97130) = 10

We will now calculate the prime factors of 97120 and 97130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97120 and 97130.

How to find the GCF of 97120 and 97130?

We will first find the prime factorization of 97120 and 97130. After we will calculate the factors of 97120 and 97130 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 97130

Prime factors of 97130 are 2, 5, 11, 883. Prime factorization of 97130 in exponential form is:

97130 = 2¹ × 5¹ × 11¹ × 883¹

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 97130

List of positive integer factors of 97130 that divides 97120 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 883, 1766, 4415, 8830, 9713, 19426, 48565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97120 and 97130. The biggest common factor number is the GCF number.
So the greatest common factor 97120 and 97130 is 10.

Also check out the Least Common Multiple of 97120 and 97130