What is the Greatest Common Factor of 60750 and 60756?

Greatest common factor (GCF) of 60750 and 60756 is 6.

GCF(60750,60756) = 6

We will now calculate the prime factors of 60750 and 60756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60750 and 60756.

How to find the GCF of 60750 and 60756?

We will first find the prime factorization of 60750 and 60756. After we will calculate the factors of 60750 and 60756 and find the biggest common factor number .

Step-1: Prime Factorization of 60750

Prime factors of 60750 are 2, 3, 5. Prime factorization of 60750 in exponential form is:

60750 = 2¹ × 3⁵ × 5³

Step-2: Prime Factorization of 60756

Prime factors of 60756 are 2, 3, 61, 83. Prime factorization of 60756 in exponential form is:

60756 = 2² × 3¹ × 61¹ × 83¹

Step-3: Factors of 60750

List of positive integer factors of 60750 that divides 60750 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 125, 135, 150, 162, 225, 243, 250, 270, 375, 405, 450, 486, 675, 750, 810, 1125, 1215, 1350, 2025, 2250, 2430, 3375, 4050, 6075, 6750, 10125, 12150, 20250, 30375

Step-4: Factors of 60756

List of positive integer factors of 60756 that divides 60750 without a remainder.

1, 2, 3, 4, 6, 12, 61, 83, 122, 166, 183, 244, 249, 332, 366, 498, 732, 996, 5063, 10126, 15189, 20252, 30378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60750 and 60756. The biggest common factor number is the GCF number.
So the greatest common factor 60750 and 60756 is 6.

Also check out the Least Common Multiple of 60750 and 60756