What is the Greatest Common Factor of 60750 and 60770?

Greatest common factor (GCF) of 60750 and 60770 is 10.

GCF(60750,60770) = 10

We will now calculate the prime factors of 60750 and 60770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60750 and 60770.

How to find the GCF of 60750 and 60770?

We will first find the prime factorization of 60750 and 60770. After we will calculate the factors of 60750 and 60770 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 60770

Prime factors of 60770 are 2, 5, 59, 103. Prime factorization of 60770 in exponential form is:

60770 = 2¹ × 5¹ × 59¹ × 103¹

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 60770

List of positive integer factors of 60770 that divides 60750 without a remainder.

1, 2, 5, 10, 59, 103, 118, 206, 295, 515, 590, 1030, 6077, 12154, 30385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60750 and 60770. The biggest common factor number is the GCF number.
So the greatest common factor 60750 and 60770 is 10.

Also check out the Least Common Multiple of 60750 and 60770