What is the Greatest Common Factor of 72942 and 72960?

Greatest common factor (GCF) of 72942 and 72960 is 6.

GCF(72942,72960) = 6

We will now calculate the prime factors of 72942 and 72960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72942 and 72960.

How to find the GCF of 72942 and 72960?

We will first find the prime factorization of 72942 and 72960. After we will calculate the factors of 72942 and 72960 and find the biggest common factor number .

Step-1: Prime Factorization of 72942

Prime factors of 72942 are 2, 3, 12157. Prime factorization of 72942 in exponential form is:

72942 = 2¹ × 3¹ × 12157¹

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 72942

List of positive integer factors of 72942 that divides 72942 without a remainder.

1, 2, 3, 6, 12157, 24314, 36471

Step-4: Factors of 72960

List of positive integer factors of 72960 that divides 72942 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 72942 and 72960. The biggest common factor number is the GCF number.
So the greatest common factor 72942 and 72960 is 6.

Also check out the Least Common Multiple of 72942 and 72960