What is the Greatest Common Factor of 60741 and 60750?

Greatest common factor (GCF) of 60741 and 60750 is 9.

GCF(60741,60750) = 9

We will now calculate the prime factors of 60741 and 60750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60741 and 60750.

How to find the GCF of 60741 and 60750?

We will first find the prime factorization of 60741 and 60750. After we will calculate the factors of 60741 and 60750 and find the biggest common factor number .

Step-1: Prime Factorization of 60741

Prime factors of 60741 are 3, 17, 397. Prime factorization of 60741 in exponential form is:

60741 = 3² × 17¹ × 397¹

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 60741

List of positive integer factors of 60741 that divides 60741 without a remainder.

1, 3, 9, 17, 51, 153, 397, 1191, 3573, 6749, 20247

Step-4: Factors of 60750

List of positive integer factors of 60750 that divides 60741 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 60741 and 60750. The biggest common factor number is the GCF number.
So the greatest common factor 60741 and 60750 is 9.

Also check out the Least Common Multiple of 60741 and 60750