What is the Greatest Common Factor of 79360 and 79368?

Greatest common factor (GCF) of 79360 and 79368 is 8.

GCF(79360,79368) = 8

We will now calculate the prime factors of 79360 and 79368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79368.

How to find the GCF of 79360 and 79368?

We will first find the prime factorization of 79360 and 79368. After we will calculate the factors of 79360 and 79368 and find the biggest common factor number .

Step-1: Prime Factorization of 79360

Prime factors of 79360 are 2, 5, 31. Prime factorization of 79360 in exponential form is:

79360 = 2⁹ × 5¹ × 31¹

Step-2: Prime Factorization of 79368

Prime factors of 79368 are 2, 3, 3307. Prime factorization of 79368 in exponential form is:

79368 = 2³ × 3¹ × 3307¹

Step-3: Factors of 79360

List of positive integer factors of 79360 that divides 79360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 512, 620, 640, 992, 1240, 1280, 1984, 2480, 2560, 3968, 4960, 7936, 9920, 15872, 19840, 39680

Step-4: Factors of 79368

List of positive integer factors of 79368 that divides 79360 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3307, 6614, 9921, 13228, 19842, 26456, 39684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79368. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79368 is 8.

Also check out the Least Common Multiple of 79360 and 79368