What is the Greatest Common Factor of 60051 and 60063?

Greatest common factor (GCF) of 60051 and 60063 is 3.

GCF(60051,60063) = 3

We will now calculate the prime factors of 60051 and 60063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60051 and 60063.

How to find the GCF of 60051 and 60063?

We will first find the prime factorization of 60051 and 60063. After we will calculate the factors of 60051 and 60063 and find the biggest common factor number .

Step-1: Prime Factorization of 60051

Prime factors of 60051 are 3, 37, 541. Prime factorization of 60051 in exponential form is:

60051 = 3¹ × 37¹ × 541¹

Step-2: Prime Factorization of 60063

Prime factors of 60063 are 3, 20021. Prime factorization of 60063 in exponential form is:

60063 = 3¹ × 20021¹

Step-3: Factors of 60051

List of positive integer factors of 60051 that divides 60051 without a remainder.

1, 3, 37, 111, 541, 1623, 20017

Step-4: Factors of 60063

List of positive integer factors of 60063 that divides 60051 without a remainder.

1, 3, 20021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60051 and 60063. The biggest common factor number is the GCF number.
So the greatest common factor 60051 and 60063 is 3.

Also check out the Least Common Multiple of 60051 and 60063