What is the Greatest Common Factor of 79360 and 79377?

Greatest common factor (GCF) of 79360 and 79377 is 1.

GCF(79360,79377) = 1

We will now calculate the prime factors of 79360 and 79377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79377.

How to find the GCF of 79360 and 79377?

We will first find the prime factorization of 79360 and 79377. After we will calculate the factors of 79360 and 79377 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 79377

Prime factors of 79377 are 3, 26459. Prime factorization of 79377 in exponential form is:

79377 = 3¹ × 26459¹

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 79377

List of positive integer factors of 79377 that divides 79360 without a remainder.

1, 3, 26459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79377. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79377 is 1.

Also check out the Least Common Multiple of 79360 and 79377