What is the Greatest Common Factor of 79584 and 79591?

Greatest common factor (GCF) of 79584 and 79591 is 1.

GCF(79584,79591) = 1

We will now calculate the prime factors of 79584 and 79591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79591.

How to find the GCF of 79584 and 79591?

We will first find the prime factorization of 79584 and 79591. After we will calculate the factors of 79584 and 79591 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 79591

Prime factors of 79591 are 19, 59, 71. Prime factorization of 79591 in exponential form is:

79591 = 19¹ × 59¹ × 71¹

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 79591

List of positive integer factors of 79591 that divides 79584 without a remainder.

1, 19, 59, 71, 1121, 1349, 4189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79591. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79591 is 1.

Also check out the Least Common Multiple of 79584 and 79591