What is the Greatest Common Factor of 60021 and 60039?

Greatest common factor (GCF) of 60021 and 60039 is 9.

GCF(60021,60039) = 9

We will now calculate the prime factors of 60021 and 60039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60021 and 60039.

How to find the GCF of 60021 and 60039?

We will first find the prime factorization of 60021 and 60039. After we will calculate the factors of 60021 and 60039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60039

Prime factors of 60039 are 3, 7, 953. Prime factorization of 60039 in exponential form is:

60039 = 3² × 7¹ × 953¹

Step-3: Factors of 60021

List of positive integer factors of 60021 that divides 60021 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

Step-4: Factors of 60039

List of positive integer factors of 60039 that divides 60021 without a remainder.

1, 3, 7, 9, 21, 63, 953, 2859, 6671, 8577, 20013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60021 and 60039. The biggest common factor number is the GCF number.
So the greatest common factor 60021 and 60039 is 9.

Also check out the Least Common Multiple of 60021 and 60039