What is the Greatest Common Factor of 93961 and 93968?

Greatest common factor (GCF) of 93961 and 93968 is 7.

GCF(93961,93968) = 7

We will now calculate the prime factors of 93961 and 93968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93961 and 93968.

How to find the GCF of 93961 and 93968?

We will first find the prime factorization of 93961 and 93968. After we will calculate the factors of 93961 and 93968 and find the biggest common factor number .

Step-1: Prime Factorization of 93961

Prime factors of 93961 are 7, 31, 433. Prime factorization of 93961 in exponential form is:

93961 = 7¹ × 31¹ × 433¹

Step-2: Prime Factorization of 93968

Prime factors of 93968 are 2, 7, 839. Prime factorization of 93968 in exponential form is:

93968 = 2⁴ × 7¹ × 839¹

Step-3: Factors of 93961

List of positive integer factors of 93961 that divides 93961 without a remainder.

1, 7, 31, 217, 433, 3031, 13423

Step-4: Factors of 93968

List of positive integer factors of 93968 that divides 93961 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 839, 1678, 3356, 5873, 6712, 11746, 13424, 23492, 46984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93961 and 93968. The biggest common factor number is the GCF number.
So the greatest common factor 93961 and 93968 is 7.

Also check out the Least Common Multiple of 93961 and 93968