What is the Greatest Common Factor of 72950 and 72960?

Greatest common factor (GCF) of 72950 and 72960 is 10.

GCF(72950,72960) = 10

We will now calculate the prime factors of 72950 and 72960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72950 and 72960.

How to find the GCF of 72950 and 72960?

We will first find the prime factorization of 72950 and 72960. After we will calculate the factors of 72950 and 72960 and find the biggest common factor number .

Step-1: Prime Factorization of 72950

Prime factors of 72950 are 2, 5, 1459. Prime factorization of 72950 in exponential form is:

72950 = 2¹ × 5² × 1459¹

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 72950

List of positive integer factors of 72950 that divides 72950 without a remainder.

1, 2, 5, 10, 25, 50, 1459, 2918, 7295, 14590, 36475

Step-4: Factors of 72960

List of positive integer factors of 72960 that divides 72950 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 72950 and 72960. The biggest common factor number is the GCF number.
So the greatest common factor 72950 and 72960 is 10.

Also check out the Least Common Multiple of 72950 and 72960