What is the Greatest Common Factor of 60468 and 60477?

Greatest common factor (GCF) of 60468 and 60477 is 3.

GCF(60468,60477) = 3

We will now calculate the prime factors of 60468 and 60477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60468 and 60477.

How to find the GCF of 60468 and 60477?

We will first find the prime factorization of 60468 and 60477. After we will calculate the factors of 60468 and 60477 and find the biggest common factor number .

Step-1: Prime Factorization of 60468

Prime factors of 60468 are 2, 3, 5039. Prime factorization of 60468 in exponential form is:

60468 = 2² × 3¹ × 5039¹

Step-2: Prime Factorization of 60477

Prime factors of 60477 are 3, 19, 1061. Prime factorization of 60477 in exponential form is:

60477 = 3¹ × 19¹ × 1061¹

Step-3: Factors of 60468

List of positive integer factors of 60468 that divides 60468 without a remainder.

1, 2, 3, 4, 6, 12, 5039, 10078, 15117, 20156, 30234

Step-4: Factors of 60477

List of positive integer factors of 60477 that divides 60468 without a remainder.

1, 3, 19, 57, 1061, 3183, 20159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60468 and 60477. The biggest common factor number is the GCF number.
So the greatest common factor 60468 and 60477 is 3.

Also check out the Least Common Multiple of 60468 and 60477