What is the Greatest Common Factor of 93996 and 94015?

Greatest common factor (GCF) of 93996 and 94015 is 1.

GCF(93996,94015) = 1

We will now calculate the prime factors of 93996 and 94015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93996 and 94015.

How to find the GCF of 93996 and 94015?

We will first find the prime factorization of 93996 and 94015. After we will calculate the factors of 93996 and 94015 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 94015

Prime factors of 94015 are 5, 18803. Prime factorization of 94015 in exponential form is:

94015 = 5¹ × 18803¹

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 94015

List of positive integer factors of 94015 that divides 93996 without a remainder.

1, 5, 18803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93996 and 94015. The biggest common factor number is the GCF number.
So the greatest common factor 93996 and 94015 is 1.

Also check out the Least Common Multiple of 93996 and 94015