What is the Greatest Common Factor of 93996 and 94001?

Greatest common factor (GCF) of 93996 and 94001 is 1.

GCF(93996,94001) = 1

We will now calculate the prime factors of 93996 and 94001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93996 and 94001.

How to find the GCF of 93996 and 94001?

We will first find the prime factorization of 93996 and 94001. After we will calculate the factors of 93996 and 94001 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 94001

Prime factors of 94001 are 23, 61, 67. Prime factorization of 94001 in exponential form is:

94001 = 23¹ × 61¹ × 67¹

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 94001

List of positive integer factors of 94001 that divides 93996 without a remainder.

1, 23, 61, 67, 1403, 1541, 4087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93996 and 94001. The biggest common factor number is the GCF number.
So the greatest common factor 93996 and 94001 is 1.

Also check out the Least Common Multiple of 93996 and 94001