What is the Greatest Common Factor of 60750 and 60765?

Greatest common factor (GCF) of 60750 and 60765 is 15.

GCF(60750,60765) = 15

We will now calculate the prime factors of 60750 and 60765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60750 and 60765.

How to find the GCF of 60750 and 60765?

We will first find the prime factorization of 60750 and 60765. After we will calculate the factors of 60750 and 60765 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 60765

Prime factors of 60765 are 3, 5, 4051. Prime factorization of 60765 in exponential form is:

60765 = 3¹ × 5¹ × 4051¹

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 60765

List of positive integer factors of 60765 that divides 60750 without a remainder.

1, 3, 5, 15, 4051, 12153, 20255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60750 and 60765. The biggest common factor number is the GCF number.
So the greatest common factor 60750 and 60765 is 15.

Also check out the Least Common Multiple of 60750 and 60765