What is the Greatest Common Factor of 72960 and 72979?

Greatest common factor (GCF) of 72960 and 72979 is 19.

GCF(72960,72979) = 19

We will now calculate the prime factors of 72960 and 72979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72960 and 72979.

How to find the GCF of 72960 and 72979?

We will first find the prime factorization of 72960 and 72979. After we will calculate the factors of 72960 and 72979 and find the biggest common factor number .

Step-1: Prime Factorization of 72960

Prime factors of 72960 are 2, 3, 5, 19. Prime factorization of 72960 in exponential form is:

72960 = 2⁸ × 3¹ × 5¹ × 19¹

Step-2: Prime Factorization of 72979

Prime factors of 72979 are 19, 23, 167. Prime factorization of 72979 in exponential form is:

72979 = 19¹ × 23¹ × 167¹

Step-3: Factors of 72960

List of positive integer factors of 72960 that divides 72960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 64, 76, 80, 95, 96, 114, 120, 128, 152, 160, 190, 192, 228, 240, 256, 285, 304, 320, 380, 384, 456, 480, 570, 608, 640, 760, 768, 912, 960, 1140, 1216, 1280, 1520, 1824, 1920, 2280, 2432, 3040, 3648, 3840, 4560, 4864, 6080, 7296, 9120, 12160, 14592, 18240, 24320, 36480

Step-4: Factors of 72979

List of positive integer factors of 72979 that divides 72960 without a remainder.

1, 19, 23, 167, 437, 3173, 3841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72960 and 72979. The biggest common factor number is the GCF number.
So the greatest common factor 72960 and 72979 is 19.

Also check out the Least Common Multiple of 72960 and 72979