What is the Greatest Common Factor of 72948 and 72960?

Greatest common factor (GCF) of 72948 and 72960 is 12.

GCF(72948,72960) = 12

We will now calculate the prime factors of 72948 and 72960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72948 and 72960.

How to find the GCF of 72948 and 72960?

We will first find the prime factorization of 72948 and 72960. After we will calculate the factors of 72948 and 72960 and find the biggest common factor number .

Step-1: Prime Factorization of 72948

Prime factors of 72948 are 2, 3, 6079. Prime factorization of 72948 in exponential form is:

72948 = 2² × 3¹ × 6079¹

Step-2: 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-3: Factors of 72948

List of positive integer factors of 72948 that divides 72948 without a remainder.

1, 2, 3, 4, 6, 12, 6079, 12158, 18237, 24316, 36474

Step-4: Factors of 72960

List of positive integer factors of 72960 that divides 72948 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72948 and 72960. The biggest common factor number is the GCF number.
So the greatest common factor 72948 and 72960 is 12.

Also check out the Least Common Multiple of 72948 and 72960