What is the Greatest Common Factor of 79584 and 79590?

Greatest common factor (GCF) of 79584 and 79590 is 6.

GCF(79584,79590) = 6

We will now calculate the prime factors of 79584 and 79590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79590.

How to find the GCF of 79584 and 79590?

We will first find the prime factorization of 79584 and 79590. After we will calculate the factors of 79584 and 79590 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 79590

Prime factors of 79590 are 2, 3, 5, 7, 379. Prime factorization of 79590 in exponential form is:

79590 = 2¹ × 3¹ × 5¹ × 7¹ × 379¹

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 79590

List of positive integer factors of 79590 that divides 79584 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 379, 758, 1137, 1895, 2274, 2653, 3790, 5306, 5685, 7959, 11370, 13265, 15918, 26530, 39795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79590. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79590 is 6.

Also check out the Least Common Multiple of 79584 and 79590