What is the Greatest Common Factor of 77004 and 77021?

Greatest common factor (GCF) of 77004 and 77021 is 1.

GCF(77004,77021) = 1

We will now calculate the prime factors of 77004 and 77021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77004 and 77021.

How to find the GCF of 77004 and 77021?

We will first find the prime factorization of 77004 and 77021. After we will calculate the factors of 77004 and 77021 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 77021

Prime factors of 77021 are 7, 11003. Prime factorization of 77021 in exponential form is:

77021 = 7¹ × 11003¹

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 77021

List of positive integer factors of 77021 that divides 77004 without a remainder.

1, 7, 11003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77004 and 77021. The biggest common factor number is the GCF number.
So the greatest common factor 77004 and 77021 is 1.

Also check out the Least Common Multiple of 77004 and 77021