What is the Greatest Common Factor of 96925 and 96937?

Greatest common factor (GCF) of 96925 and 96937 is 1.

GCF(96925,96937) = 1

We will now calculate the prime factors of 96925 and 96937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96925 and 96937.

How to find the GCF of 96925 and 96937?

We will first find the prime factorization of 96925 and 96937. After we will calculate the factors of 96925 and 96937 and find the biggest common factor number .

Step-1: Prime Factorization of 96925

Prime factors of 96925 are 5, 3877. Prime factorization of 96925 in exponential form is:

96925 = 5² × 3877¹

Step-2: Prime Factorization of 96937

Prime factors of 96937 are 31, 53, 59. Prime factorization of 96937 in exponential form is:

96937 = 31¹ × 53¹ × 59¹

Step-3: Factors of 96925

List of positive integer factors of 96925 that divides 96925 without a remainder.

1, 5, 25, 3877, 19385

Step-4: Factors of 96937

List of positive integer factors of 96937 that divides 96925 without a remainder.

1, 31, 53, 59, 1643, 1829, 3127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96925 and 96937. The biggest common factor number is the GCF number.
So the greatest common factor 96925 and 96937 is 1.

Also check out the Least Common Multiple of 96925 and 96937