What is the Greatest Common Factor of 60309 and 60315?

Greatest common factor (GCF) of 60309 and 60315 is 3.

GCF(60309,60315) = 3

We will now calculate the prime factors of 60309 and 60315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60309 and 60315.

How to find the GCF of 60309 and 60315?

We will first find the prime factorization of 60309 and 60315. After we will calculate the factors of 60309 and 60315 and find the biggest common factor number .

Step-1: Prime Factorization of 60309

Prime factors of 60309 are 3, 6701. Prime factorization of 60309 in exponential form is:

60309 = 3² × 6701¹

Step-2: Prime Factorization of 60315

Prime factors of 60315 are 3, 5, 4021. Prime factorization of 60315 in exponential form is:

60315 = 3¹ × 5¹ × 4021¹

Step-3: Factors of 60309

List of positive integer factors of 60309 that divides 60309 without a remainder.

1, 3, 9, 6701, 20103

Step-4: Factors of 60315

List of positive integer factors of 60315 that divides 60309 without a remainder.

1, 3, 5, 15, 4021, 12063, 20105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60309 and 60315. The biggest common factor number is the GCF number.
So the greatest common factor 60309 and 60315 is 3.

Also check out the Least Common Multiple of 60309 and 60315