What is the Greatest Common Factor of 93996 and 94011?

Greatest common factor (GCF) of 93996 and 94011 is 3.

GCF(93996,94011) = 3

We will now calculate the prime factors of 93996 and 94011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93996 and 94011.

How to find the GCF of 93996 and 94011?

We will first find the prime factorization of 93996 and 94011. After we will calculate the factors of 93996 and 94011 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94011

Prime factors of 94011 are 3, 31337. Prime factorization of 94011 in exponential form is:

94011 = 3¹ × 31337¹

Step-3: Factors of 93996

List of positive integer factors of 93996 that divides 93996 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

Step-4: Factors of 94011

List of positive integer factors of 94011 that divides 93996 without a remainder.

1, 3, 31337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93996 and 94011. The biggest common factor number is the GCF number.
So the greatest common factor 93996 and 94011 is 3.

Also check out the Least Common Multiple of 93996 and 94011