What is the Greatest Common Factor of 60316 and 60333?

Greatest common factor (GCF) of 60316 and 60333 is 17.

GCF(60316,60333) = 17

We will now calculate the prime factors of 60316 and 60333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60316 and 60333.

How to find the GCF of 60316 and 60333?

We will first find the prime factorization of 60316 and 60333. After we will calculate the factors of 60316 and 60333 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 60333

Prime factors of 60333 are 3, 7, 13, 17. Prime factorization of 60333 in exponential form is:

60333 = 3¹ × 7¹ × 13² × 17¹

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 60333

List of positive integer factors of 60333 that divides 60316 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 169, 221, 273, 357, 507, 663, 1183, 1547, 2873, 3549, 4641, 8619, 20111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60316 and 60333. The biggest common factor number is the GCF number.
So the greatest common factor 60316 and 60333 is 17.

Also check out the Least Common Multiple of 60316 and 60333