What is the Greatest Common Factor of 97116 and 97125?

Greatest common factor (GCF) of 97116 and 97125 is 3.

GCF(97116,97125) = 3

We will now calculate the prime factors of 97116 and 97125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97116 and 97125.

How to find the GCF of 97116 and 97125?

We will first find the prime factorization of 97116 and 97125. After we will calculate the factors of 97116 and 97125 and find the biggest common factor number .

Step-1: Prime Factorization of 97116

Prime factors of 97116 are 2, 3, 8093. Prime factorization of 97116 in exponential form is:

97116 = 2² × 3¹ × 8093¹

Step-2: Prime Factorization of 97125

Prime factors of 97125 are 3, 5, 7, 37. Prime factorization of 97125 in exponential form is:

97125 = 3¹ × 5³ × 7¹ × 37¹

Step-3: Factors of 97116

List of positive integer factors of 97116 that divides 97116 without a remainder.

1, 2, 3, 4, 6, 12, 8093, 16186, 24279, 32372, 48558

Step-4: Factors of 97125

List of positive integer factors of 97125 that divides 97116 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 37, 75, 105, 111, 125, 175, 185, 259, 375, 525, 555, 777, 875, 925, 1295, 2625, 2775, 3885, 4625, 6475, 13875, 19425, 32375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97116 and 97125. The biggest common factor number is the GCF number.
So the greatest common factor 97116 and 97125 is 3.

Also check out the Least Common Multiple of 97116 and 97125