What is the Greatest Common Factor of 79576 and 79580?

Greatest common factor (GCF) of 79576 and 79580 is 4.

GCF(79576,79580) = 4

We will now calculate the prime factors of 79576 and 79580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79576 and 79580.

How to find the GCF of 79576 and 79580?

We will first find the prime factorization of 79576 and 79580. After we will calculate the factors of 79576 and 79580 and find the biggest common factor number .

Step-1: Prime Factorization of 79576

Prime factors of 79576 are 2, 7, 29. Prime factorization of 79576 in exponential form is:

79576 = 2³ × 7³ × 29¹

Step-2: Prime Factorization of 79580

Prime factors of 79580 are 2, 5, 23, 173. Prime factorization of 79580 in exponential form is:

79580 = 2² × 5¹ × 23¹ × 173¹

Step-3: Factors of 79576

List of positive integer factors of 79576 that divides 79576 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 49, 56, 58, 98, 116, 196, 203, 232, 343, 392, 406, 686, 812, 1372, 1421, 1624, 2744, 2842, 5684, 9947, 11368, 19894, 39788

Step-4: Factors of 79580

List of positive integer factors of 79580 that divides 79576 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 173, 230, 346, 460, 692, 865, 1730, 3460, 3979, 7958, 15916, 19895, 39790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79576 and 79580. The biggest common factor number is the GCF number.
So the greatest common factor 79576 and 79580 is 4.

Also check out the Least Common Multiple of 79576 and 79580