What is the Greatest Common Factor of 93948 and 93957?

Greatest common factor (GCF) of 93948 and 93957 is 3.

GCF(93948,93957) = 3

We will now calculate the prime factors of 93948 and 93957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93948 and 93957.

How to find the GCF of 93948 and 93957?

We will first find the prime factorization of 93948 and 93957. After we will calculate the factors of 93948 and 93957 and find the biggest common factor number .

Step-1: Prime Factorization of 93948

Prime factors of 93948 are 2, 3, 7829. Prime factorization of 93948 in exponential form is:

93948 = 2² × 3¹ × 7829¹

Step-2: Prime Factorization of 93957

Prime factors of 93957 are 3, 31319. Prime factorization of 93957 in exponential form is:

93957 = 3¹ × 31319¹

Step-3: Factors of 93948

List of positive integer factors of 93948 that divides 93948 without a remainder.

1, 2, 3, 4, 6, 12, 7829, 15658, 23487, 31316, 46974

Step-4: Factors of 93957

List of positive integer factors of 93957 that divides 93948 without a remainder.

1, 3, 31319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93948 and 93957. The biggest common factor number is the GCF number.
So the greatest common factor 93948 and 93957 is 3.

Also check out the Least Common Multiple of 93948 and 93957