What is the Greatest Common Factor of 60339 and 60348?

Greatest common factor (GCF) of 60339 and 60348 is 3.

GCF(60339,60348) = 3

We will now calculate the prime factors of 60339 and 60348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60339 and 60348.

How to find the GCF of 60339 and 60348?

We will first find the prime factorization of 60339 and 60348. After we will calculate the factors of 60339 and 60348 and find the biggest common factor number .

Step-1: Prime Factorization of 60339

Prime factors of 60339 are 3, 20113. Prime factorization of 60339 in exponential form is:

60339 = 3¹ × 20113¹

Step-2: Prime Factorization of 60348

Prime factors of 60348 are 2, 3, 47, 107. Prime factorization of 60348 in exponential form is:

60348 = 2² × 3¹ × 47¹ × 107¹

Step-3: Factors of 60339

List of positive integer factors of 60339 that divides 60339 without a remainder.

1, 3, 20113

Step-4: Factors of 60348

List of positive integer factors of 60348 that divides 60339 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 107, 141, 188, 214, 282, 321, 428, 564, 642, 1284, 5029, 10058, 15087, 20116, 30174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60339 and 60348. The biggest common factor number is the GCF number.
So the greatest common factor 60339 and 60348 is 3.

Also check out the Least Common Multiple of 60339 and 60348