What is the Greatest Common Factor of 93925 and 93944?

Greatest common factor (GCF) of 93925 and 93944 is 1.

GCF(93925,93944) = 1

We will now calculate the prime factors of 93925 and 93944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93925 and 93944.

How to find the GCF of 93925 and 93944?

We will first find the prime factorization of 93925 and 93944. After we will calculate the factors of 93925 and 93944 and find the biggest common factor number .

Step-1: Prime Factorization of 93925

Prime factors of 93925 are 5, 13, 17. Prime factorization of 93925 in exponential form is:

93925 = 5² × 13¹ × 17²

Step-2: Prime Factorization of 93944

Prime factors of 93944 are 2, 11743. Prime factorization of 93944 in exponential form is:

93944 = 2³ × 11743¹

Step-3: Factors of 93925

List of positive integer factors of 93925 that divides 93925 without a remainder.

1, 5, 13, 17, 25, 65, 85, 221, 289, 325, 425, 1105, 1445, 3757, 5525, 7225, 18785

Step-4: Factors of 93944

List of positive integer factors of 93944 that divides 93925 without a remainder.

1, 2, 4, 8, 11743, 23486, 46972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93925 and 93944. The biggest common factor number is the GCF number.
So the greatest common factor 93925 and 93944 is 1.

Also check out the Least Common Multiple of 93925 and 93944