What is the Greatest Common Factor of 60009 and 60021?

Greatest common factor (GCF) of 60009 and 60021 is 3.

GCF(60009,60021) = 3

We will now calculate the prime factors of 60009 and 60021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60009 and 60021.

How to find the GCF of 60009 and 60021?

We will first find the prime factorization of 60009 and 60021. After we will calculate the factors of 60009 and 60021 and find the biggest common factor number .

Step-1: Prime Factorization of 60009

Prime factors of 60009 are 3, 83, 241. Prime factorization of 60009 in exponential form is:

60009 = 3¹ × 83¹ × 241¹

Step-2: Prime Factorization of 60021

Prime factors of 60021 are 3, 13, 19. Prime factorization of 60021 in exponential form is:

60021 = 3⁵ × 13¹ × 19¹

Step-3: Factors of 60009

List of positive integer factors of 60009 that divides 60009 without a remainder.

1, 3, 83, 241, 249, 723, 20003

Step-4: Factors of 60021

List of positive integer factors of 60021 that divides 60009 without a remainder.

1, 3, 9, 13, 19, 27, 39, 57, 81, 117, 171, 243, 247, 351, 513, 741, 1053, 1539, 2223, 3159, 4617, 6669, 20007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60009 and 60021. The biggest common factor number is the GCF number.
So the greatest common factor 60009 and 60021 is 3.

Also check out the Least Common Multiple of 60009 and 60021