What is the Greatest Common Factor of 60660 and 60667?

Greatest common factor (GCF) of 60660 and 60667 is 1.

GCF(60660,60667) = 1

We will now calculate the prime factors of 60660 and 60667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60660 and 60667.

How to find the GCF of 60660 and 60667?

We will first find the prime factorization of 60660 and 60667. After we will calculate the factors of 60660 and 60667 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 60667

Prime factors of 60667 are 19, 31, 103. Prime factorization of 60667 in exponential form is:

60667 = 19¹ × 31¹ × 103¹

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 60667

List of positive integer factors of 60667 that divides 60660 without a remainder.

1, 19, 31, 103, 589, 1957, 3193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60660 and 60667. The biggest common factor number is the GCF number.
So the greatest common factor 60660 and 60667 is 1.

Also check out the Least Common Multiple of 60660 and 60667