What is the Greatest Common Factor of 79564 and 79584?

Greatest common factor (GCF) of 79564 and 79584 is 4.

GCF(79564,79584) = 4

We will now calculate the prime factors of 79564 and 79584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79564 and 79584.

How to find the GCF of 79564 and 79584?

We will first find the prime factorization of 79564 and 79584. After we will calculate the factors of 79564 and 79584 and find the biggest common factor number .

Step-1: Prime Factorization of 79564

Prime factors of 79564 are 2, 19891. Prime factorization of 79564 in exponential form is:

79564 = 2² × 19891¹

Step-2: Prime Factorization of 79584

Prime factors of 79584 are 2, 3, 829. Prime factorization of 79584 in exponential form is:

79584 = 2⁵ × 3¹ × 829¹

Step-3: Factors of 79564

List of positive integer factors of 79564 that divides 79564 without a remainder.

1, 2, 4, 19891, 39782

Step-4: Factors of 79584

List of positive integer factors of 79584 that divides 79564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896, 26528, 39792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79564 and 79584. The biggest common factor number is the GCF number.
So the greatest common factor 79564 and 79584 is 4.

Also check out the Least Common Multiple of 79564 and 79584