What is the Greatest Common Factor of 79360 and 79372?

Greatest common factor (GCF) of 79360 and 79372 is 4.

GCF(79360,79372) = 4

We will now calculate the prime factors of 79360 and 79372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79372.

How to find the GCF of 79360 and 79372?

We will first find the prime factorization of 79360 and 79372. After we will calculate the factors of 79360 and 79372 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 79372

Prime factors of 79372 are 2, 19843. Prime factorization of 79372 in exponential form is:

79372 = 2² × 19843¹

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 79372

List of positive integer factors of 79372 that divides 79360 without a remainder.

1, 2, 4, 19843, 39686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79372. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79372 is 4.

Also check out the Least Common Multiple of 79360 and 79372