What is the Greatest Common Factor of 60740 and 60750?

Greatest common factor (GCF) of 60740 and 60750 is 10.

GCF(60740,60750) = 10

We will now calculate the prime factors of 60740 and 60750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60740 and 60750.

How to find the GCF of 60740 and 60750?

We will first find the prime factorization of 60740 and 60750. After we will calculate the factors of 60740 and 60750 and find the biggest common factor number .

Step-1: Prime Factorization of 60740

Prime factors of 60740 are 2, 5, 3037. Prime factorization of 60740 in exponential form is:

60740 = 2² × 5¹ × 3037¹

Step-2: 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-3: Factors of 60740

List of positive integer factors of 60740 that divides 60740 without a remainder.

1, 2, 4, 5, 10, 20, 3037, 6074, 12148, 15185, 30370

Step-4: Factors of 60750

List of positive integer factors of 60750 that divides 60740 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60740 and 60750. The biggest common factor number is the GCF number.
So the greatest common factor 60740 and 60750 is 10.

Also check out the Least Common Multiple of 60740 and 60750