What is the Greatest Common Factor of 93982 and 93996?

Greatest common factor (GCF) of 93982 and 93996 is 14.

GCF(93982,93996) = 14

We will now calculate the prime factors of 93982 and 93996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93982 and 93996.

How to find the GCF of 93982 and 93996?

We will first find the prime factorization of 93982 and 93996. After we will calculate the factors of 93982 and 93996 and find the biggest common factor number .

Step-1: Prime Factorization of 93982

Prime factors of 93982 are 2, 7, 137. Prime factorization of 93982 in exponential form is:

93982 = 2¹ × 7³ × 137¹

Step-2: Prime Factorization of 93996

Prime factors of 93996 are 2, 3, 7, 373. Prime factorization of 93996 in exponential form is:

93996 = 2² × 3² × 7¹ × 373¹

Step-3: Factors of 93982

List of positive integer factors of 93982 that divides 93982 without a remainder.

1, 2, 7, 14, 49, 98, 137, 274, 343, 686, 959, 1918, 6713, 13426, 46991

Step-4: Factors of 93996

List of positive integer factors of 93996 that divides 93982 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 373, 746, 1119, 1492, 2238, 2611, 3357, 4476, 5222, 6714, 7833, 10444, 13428, 15666, 23499, 31332, 46998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93982 and 93996. The biggest common factor number is the GCF number.
So the greatest common factor 93982 and 93996 is 14.

Also check out the Least Common Multiple of 93982 and 93996