What is the Greatest Common Factor of 97948 and 97957?

Greatest common factor (GCF) of 97948 and 97957 is 1.

GCF(97948,97957) = 1

We will now calculate the prime factors of 97948 and 97957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97948 and 97957.

How to find the GCF of 97948 and 97957?

We will first find the prime factorization of 97948 and 97957. After we will calculate the factors of 97948 and 97957 and find the biggest common factor number .

Step-1: Prime Factorization of 97948

Prime factors of 97948 are 2, 47, 521. Prime factorization of 97948 in exponential form is:

97948 = 2² × 47¹ × 521¹

Step-2: Prime Factorization of 97957

Prime factors of 97957 are 23, 4259. Prime factorization of 97957 in exponential form is:

97957 = 23¹ × 4259¹

Step-3: Factors of 97948

List of positive integer factors of 97948 that divides 97948 without a remainder.

1, 2, 4, 47, 94, 188, 521, 1042, 2084, 24487, 48974

Step-4: Factors of 97957

List of positive integer factors of 97957 that divides 97948 without a remainder.

1, 23, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97948 and 97957. The biggest common factor number is the GCF number.
So the greatest common factor 97948 and 97957 is 1.

Also check out the Least Common Multiple of 97948 and 97957