What is the Greatest Common Factor of 72960 and 72968?

Greatest common factor (GCF) of 72960 and 72968 is 8.

GCF(72960,72968) = 8

We will now calculate the prime factors of 72960 and 72968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72960 and 72968.

How to find the GCF of 72960 and 72968?

We will first find the prime factorization of 72960 and 72968. After we will calculate the factors of 72960 and 72968 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 72968

Prime factors of 72968 are 2, 7, 1303. Prime factorization of 72968 in exponential form is:

72968 = 2³ × 7¹ × 1303¹

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 72968

List of positive integer factors of 72968 that divides 72960 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1303, 2606, 5212, 9121, 10424, 18242, 36484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72960 and 72968. The biggest common factor number is the GCF number.
So the greatest common factor 72960 and 72968 is 8.

Also check out the Least Common Multiple of 72960 and 72968