What is the Greatest Common Factor of 77004 and 77012?

Greatest common factor (GCF) of 77004 and 77012 is 4.

GCF(77004,77012) = 4

We will now calculate the prime factors of 77004 and 77012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77004 and 77012.

How to find the GCF of 77004 and 77012?

We will first find the prime factorization of 77004 and 77012. After we will calculate the factors of 77004 and 77012 and find the biggest common factor number .

Step-1: Prime Factorization of 77004

Prime factors of 77004 are 2, 3, 23, 31. Prime factorization of 77004 in exponential form is:

77004 = 2² × 3³ × 23¹ × 31¹

Step-2: Prime Factorization of 77012

Prime factors of 77012 are 2, 13, 1481. Prime factorization of 77012 in exponential form is:

77012 = 2² × 13¹ × 1481¹

Step-3: Factors of 77004

List of positive integer factors of 77004 that divides 77004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 31, 36, 46, 54, 62, 69, 92, 93, 108, 124, 138, 186, 207, 276, 279, 372, 414, 558, 621, 713, 828, 837, 1116, 1242, 1426, 1674, 2139, 2484, 2852, 3348, 4278, 6417, 8556, 12834, 19251, 25668, 38502

Step-4: Factors of 77012

List of positive integer factors of 77012 that divides 77004 without a remainder.

1, 2, 4, 13, 26, 52, 1481, 2962, 5924, 19253, 38506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77004 and 77012. The biggest common factor number is the GCF number.
So the greatest common factor 77004 and 77012 is 4.

Also check out the Least Common Multiple of 77004 and 77012