What is the Greatest Common Factor of 79352 and 79360?

Greatest common factor (GCF) of 79352 and 79360 is 8.

GCF(79352,79360) = 8

We will now calculate the prime factors of 79352 and 79360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79352 and 79360.

How to find the GCF of 79352 and 79360?

We will first find the prime factorization of 79352 and 79360. After we will calculate the factors of 79352 and 79360 and find the biggest common factor number .

Step-1: Prime Factorization of 79352

Prime factors of 79352 are 2, 7, 13, 109. Prime factorization of 79352 in exponential form is:

79352 = 2³ × 7¹ × 13¹ × 109¹

Step-2: 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-3: Factors of 79352

List of positive integer factors of 79352 that divides 79352 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 109, 182, 218, 364, 436, 728, 763, 872, 1417, 1526, 2834, 3052, 5668, 6104, 9919, 11336, 19838, 39676

Step-4: Factors of 79360

List of positive integer factors of 79360 that divides 79352 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79352 and 79360. The biggest common factor number is the GCF number.
So the greatest common factor 79352 and 79360 is 8.

Also check out the Least Common Multiple of 79352 and 79360