What is the Greatest Common Factor of 77004 and 77014?

Greatest common factor (GCF) of 77004 and 77014 is 2.

GCF(77004,77014) = 2

We will now calculate the prime factors of 77004 and 77014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77004 and 77014.

How to find the GCF of 77004 and 77014?

We will first find the prime factorization of 77004 and 77014. After we will calculate the factors of 77004 and 77014 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 77014

Prime factors of 77014 are 2, 7, 5501. Prime factorization of 77014 in exponential form is:

77014 = 2¹ × 7¹ × 5501¹

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 77014

List of positive integer factors of 77014 that divides 77004 without a remainder.

1, 2, 7, 14, 5501, 11002, 38507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77004 and 77014. The biggest common factor number is the GCF number.
So the greatest common factor 77004 and 77014 is 2.

Also check out the Least Common Multiple of 77004 and 77014