What is the Greatest Common Factor of 79584 and 79589?

Greatest common factor (GCF) of 79584 and 79589 is 1.

GCF(79584,79589) = 1

We will now calculate the prime factors of 79584 and 79589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79589.

How to find the GCF of 79584 and 79589?

We will first find the prime factorization of 79584 and 79589. After we will calculate the factors of 79584 and 79589 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79589

Prime factors of 79589 are 79589. Prime factorization of 79589 in exponential form is:

79589 = 79589¹

Step-3: Factors of 79584

List of positive integer factors of 79584 that divides 79584 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

Step-4: Factors of 79589

List of positive integer factors of 79589 that divides 79584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79589. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79589 is 1.

Also check out the Least Common Multiple of 79584 and 79589