What is the Greatest Common Factor of 60609 and 60621?

Greatest common factor (GCF) of 60609 and 60621 is 3.

GCF(60609,60621) = 3

We will now calculate the prime factors of 60609 and 60621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60609 and 60621.

How to find the GCF of 60609 and 60621?

We will first find the prime factorization of 60609 and 60621. After we will calculate the factors of 60609 and 60621 and find the biggest common factor number .

Step-1: Prime Factorization of 60609

Prime factors of 60609 are 3, 89, 227. Prime factorization of 60609 in exponential form is:

60609 = 3¹ × 89¹ × 227¹

Step-2: Prime Factorization of 60621

Prime factors of 60621 are 3, 11, 167. Prime factorization of 60621 in exponential form is:

60621 = 3¹ × 11² × 167¹

Step-3: Factors of 60609

List of positive integer factors of 60609 that divides 60609 without a remainder.

1, 3, 89, 227, 267, 681, 20203

Step-4: Factors of 60621

List of positive integer factors of 60621 that divides 60609 without a remainder.

1, 3, 11, 33, 121, 167, 363, 501, 1837, 5511, 20207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60609 and 60621. The biggest common factor number is the GCF number.
So the greatest common factor 60609 and 60621 is 3.

Also check out the Least Common Multiple of 60609 and 60621