What is the Greatest Common Factor of 60750 and 60768?

Greatest common factor (GCF) of 60750 and 60768 is 18.

GCF(60750,60768) = 18

We will now calculate the prime factors of 60750 and 60768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60750 and 60768.

How to find the GCF of 60750 and 60768?

We will first find the prime factorization of 60750 and 60768. After we will calculate the factors of 60750 and 60768 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 60768

Prime factors of 60768 are 2, 3, 211. Prime factorization of 60768 in exponential form is:

60768 = 2⁵ × 3² × 211¹

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 60768

List of positive integer factors of 60768 that divides 60750 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 211, 288, 422, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 6752, 7596, 10128, 15192, 20256, 30384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60750 and 60768. The biggest common factor number is the GCF number.
So the greatest common factor 60750 and 60768 is 18.

Also check out the Least Common Multiple of 60750 and 60768