What is the Greatest Common Factor of 76104 and 76113?

Greatest common factor (GCF) of 76104 and 76113 is 9.

GCF(76104,76113) = 9

We will now calculate the prime factors of 76104 and 76113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76104 and 76113.

How to find the GCF of 76104 and 76113?

We will first find the prime factorization of 76104 and 76113. After we will calculate the factors of 76104 and 76113 and find the biggest common factor number .

Step-1: Prime Factorization of 76104

Prime factors of 76104 are 2, 3, 7, 151. Prime factorization of 76104 in exponential form is:

76104 = 2³ × 3² × 7¹ × 151¹

Step-2: Prime Factorization of 76113

Prime factors of 76113 are 3, 2819. Prime factorization of 76113 in exponential form is:

76113 = 3³ × 2819¹

Step-3: Factors of 76104

List of positive integer factors of 76104 that divides 76104 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 151, 168, 252, 302, 453, 504, 604, 906, 1057, 1208, 1359, 1812, 2114, 2718, 3171, 3624, 4228, 5436, 6342, 8456, 9513, 10872, 12684, 19026, 25368, 38052

Step-4: Factors of 76113

List of positive integer factors of 76113 that divides 76104 without a remainder.

1, 3, 9, 27, 2819, 8457, 25371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76104 and 76113. The biggest common factor number is the GCF number.
So the greatest common factor 76104 and 76113 is 9.

Also check out the Least Common Multiple of 76104 and 76113