What is the Greatest Common Factor of 93996 and 94008?

Greatest common factor (GCF) of 93996 and 94008 is 12.

GCF(93996,94008) = 12

We will now calculate the prime factors of 93996 and 94008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93996 and 94008.

How to find the GCF of 93996 and 94008?

We will first find the prime factorization of 93996 and 94008. After we will calculate the factors of 93996 and 94008 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 94008

Prime factors of 94008 are 2, 3, 3917. Prime factorization of 94008 in exponential form is:

94008 = 2³ × 3¹ × 3917¹

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 94008

List of positive integer factors of 94008 that divides 93996 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3917, 7834, 11751, 15668, 23502, 31336, 47004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93996 and 94008. The biggest common factor number is the GCF number.
So the greatest common factor 93996 and 94008 is 12.

Also check out the Least Common Multiple of 93996 and 94008