What is the Greatest Common Factor of 60316 and 60330?

Greatest common factor (GCF) of 60316 and 60330 is 2.

GCF(60316,60330) = 2

We will now calculate the prime factors of 60316 and 60330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60316 and 60330.

How to find the GCF of 60316 and 60330?

We will first find the prime factorization of 60316 and 60330. After we will calculate the factors of 60316 and 60330 and find the biggest common factor number .

Step-1: Prime Factorization of 60316

Prime factors of 60316 are 2, 17, 887. Prime factorization of 60316 in exponential form is:

60316 = 2² × 17¹ × 887¹

Step-2: Prime Factorization of 60330

Prime factors of 60330 are 2, 3, 5, 2011. Prime factorization of 60330 in exponential form is:

60330 = 2¹ × 3¹ × 5¹ × 2011¹

Step-3: Factors of 60316

List of positive integer factors of 60316 that divides 60316 without a remainder.

1, 2, 4, 17, 34, 68, 887, 1774, 3548, 15079, 30158

Step-4: Factors of 60330

List of positive integer factors of 60330 that divides 60316 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2011, 4022, 6033, 10055, 12066, 20110, 30165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60316 and 60330. The biggest common factor number is the GCF number.
So the greatest common factor 60316 and 60330 is 2.

Also check out the Least Common Multiple of 60316 and 60330