What is the Greatest Common Factor of 79584 and 79588?

Greatest common factor (GCF) of 79584 and 79588 is 4.

GCF(79584,79588) = 4

We will now calculate the prime factors of 79584 and 79588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79588.

How to find the GCF of 79584 and 79588?

We will first find the prime factorization of 79584 and 79588. After we will calculate the factors of 79584 and 79588 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 79588

Prime factors of 79588 are 2, 101, 197. Prime factorization of 79588 in exponential form is:

79588 = 2² × 101¹ × 197¹

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 79588

List of positive integer factors of 79588 that divides 79584 without a remainder.

1, 2, 4, 101, 197, 202, 394, 404, 788, 19897, 39794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79588. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79588 is 4.

Also check out the Least Common Multiple of 79584 and 79588