What is the Greatest Common Factor of 60660 and 60669?

Greatest common factor (GCF) of 60660 and 60669 is 9.

GCF(60660,60669) = 9

We will now calculate the prime factors of 60660 and 60669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60660 and 60669.

How to find the GCF of 60660 and 60669?

We will first find the prime factorization of 60660 and 60669. After we will calculate the factors of 60660 and 60669 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 60669

Prime factors of 60669 are 3, 7, 107. Prime factorization of 60669 in exponential form is:

60669 = 3⁴ × 7¹ × 107¹

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 60669

List of positive integer factors of 60669 that divides 60660 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 107, 189, 321, 567, 749, 963, 2247, 2889, 6741, 8667, 20223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60660 and 60669. The biggest common factor number is the GCF number.
So the greatest common factor 60660 and 60669 is 9.

Also check out the Least Common Multiple of 60660 and 60669