What is the Greatest Common Factor of 77004 and 77023?

Greatest common factor (GCF) of 77004 and 77023 is 1.

GCF(77004,77023) = 1

We will now calculate the prime factors of 77004 and 77023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77004 and 77023.

How to find the GCF of 77004 and 77023?

We will first find the prime factorization of 77004 and 77023. After we will calculate the factors of 77004 and 77023 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 77023

Prime factors of 77023 are 77023. Prime factorization of 77023 in exponential form is:

77023 = 77023¹

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 77023

List of positive integer factors of 77023 that divides 77004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77004 and 77023. The biggest common factor number is the GCF number.
So the greatest common factor 77004 and 77023 is 1.

Also check out the Least Common Multiple of 77004 and 77023