What is the Greatest Common Factor of 60045 and 60057?

Greatest common factor (GCF) of 60045 and 60057 is 3.

GCF(60045,60057) = 3

We will now calculate the prime factors of 60045 and 60057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60045 and 60057.

How to find the GCF of 60045 and 60057?

We will first find the prime factorization of 60045 and 60057. After we will calculate the factors of 60045 and 60057 and find the biggest common factor number .

Step-1: Prime Factorization of 60045

Prime factors of 60045 are 3, 5, 4003. Prime factorization of 60045 in exponential form is:

60045 = 3¹ × 5¹ × 4003¹

Step-2: Prime Factorization of 60057

Prime factors of 60057 are 3, 6673. Prime factorization of 60057 in exponential form is:

60057 = 3² × 6673¹

Step-3: Factors of 60045

List of positive integer factors of 60045 that divides 60045 without a remainder.

1, 3, 5, 15, 4003, 12009, 20015

Step-4: Factors of 60057

List of positive integer factors of 60057 that divides 60045 without a remainder.

1, 3, 9, 6673, 20019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60045 and 60057. The biggest common factor number is the GCF number.
So the greatest common factor 60045 and 60057 is 3.

Also check out the Least Common Multiple of 60045 and 60057