What is the Greatest Common Factor of 60021 and 60034?

Greatest common factor (GCF) of 60021 and 60034 is 13.

GCF(60021,60034) = 13

We will now calculate the prime factors of 60021 and 60034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60021 and 60034.

How to find the GCF of 60021 and 60034?

We will first find the prime factorization of 60021 and 60034. After we will calculate the factors of 60021 and 60034 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 60034

Prime factors of 60034 are 2, 13, 2309. Prime factorization of 60034 in exponential form is:

60034 = 2¹ × 13¹ × 2309¹

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 60034

List of positive integer factors of 60034 that divides 60021 without a remainder.

1, 2, 13, 26, 2309, 4618, 30017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60021 and 60034. The biggest common factor number is the GCF number.
So the greatest common factor 60021 and 60034 is 13.

Also check out the Least Common Multiple of 60021 and 60034