What is the Greatest Common Factor of 60660 and 60670?

Greatest common factor (GCF) of 60660 and 60670 is 10.

GCF(60660,60670) = 10

We will now calculate the prime factors of 60660 and 60670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60660 and 60670.

How to find the GCF of 60660 and 60670?

We will first find the prime factorization of 60660 and 60670. After we will calculate the factors of 60660 and 60670 and find the biggest common factor number .

Step-1: Prime Factorization of 60660

Prime factors of 60660 are 2, 3, 5, 337. Prime factorization of 60660 in exponential form is:

60660 = 2² × 3² × 5¹ × 337¹

Step-2: Prime Factorization of 60670

Prime factors of 60670 are 2, 5, 6067. Prime factorization of 60670 in exponential form is:

60670 = 2¹ × 5¹ × 6067¹

Step-3: Factors of 60660

List of positive integer factors of 60660 that divides 60660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 337, 674, 1011, 1348, 1685, 2022, 3033, 3370, 4044, 5055, 6066, 6740, 10110, 12132, 15165, 20220, 30330

Step-4: Factors of 60670

List of positive integer factors of 60670 that divides 60660 without a remainder.

1, 2, 5, 10, 6067, 12134, 30335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60660 and 60670. The biggest common factor number is the GCF number.
So the greatest common factor 60660 and 60670 is 10.

Also check out the Least Common Multiple of 60660 and 60670