What is the Greatest Common Factor of 60750 and 60760?

Greatest common factor (GCF) of 60750 and 60760 is 10.

GCF(60750,60760) = 10

We will now calculate the prime factors of 60750 and 60760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60750 and 60760.

How to find the GCF of 60750 and 60760?

We will first find the prime factorization of 60750 and 60760. After we will calculate the factors of 60750 and 60760 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 60760

Prime factors of 60760 are 2, 5, 7, 31. Prime factorization of 60760 in exponential form is:

60760 = 2³ × 5¹ × 7² × 31¹

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 60760

List of positive integer factors of 60760 that divides 60750 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 49, 56, 62, 70, 98, 124, 140, 155, 196, 217, 245, 248, 280, 310, 392, 434, 490, 620, 868, 980, 1085, 1240, 1519, 1736, 1960, 2170, 3038, 4340, 6076, 7595, 8680, 12152, 15190, 30380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60750 and 60760. The biggest common factor number is the GCF number.
So the greatest common factor 60750 and 60760 is 10.

Also check out the Least Common Multiple of 60750 and 60760