What is the Greatest Common Factor of 93964 and 93976?

Greatest common factor (GCF) of 93964 and 93976 is 4.

GCF(93964,93976) = 4

We will now calculate the prime factors of 93964 and 93976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93964 and 93976.

How to find the GCF of 93964 and 93976?

We will first find the prime factorization of 93964 and 93976. After we will calculate the factors of 93964 and 93976 and find the biggest common factor number .

Step-1: Prime Factorization of 93964

Prime factors of 93964 are 2, 13, 139. Prime factorization of 93964 in exponential form is:

93964 = 2² × 13² × 139¹

Step-2: Prime Factorization of 93976

Prime factors of 93976 are 2, 17, 691. Prime factorization of 93976 in exponential form is:

93976 = 2³ × 17¹ × 691¹

Step-3: Factors of 93964

List of positive integer factors of 93964 that divides 93964 without a remainder.

1, 2, 4, 13, 26, 52, 139, 169, 278, 338, 556, 676, 1807, 3614, 7228, 23491, 46982

Step-4: Factors of 93976

List of positive integer factors of 93976 that divides 93964 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 691, 1382, 2764, 5528, 11747, 23494, 46988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93964 and 93976. The biggest common factor number is the GCF number.
So the greatest common factor 93964 and 93976 is 4.

Also check out the Least Common Multiple of 93964 and 93976