What is the Greatest Common Factor of 60348 and 60364?

Greatest common factor (GCF) of 60348 and 60364 is 4.

GCF(60348,60364) = 4

We will now calculate the prime factors of 60348 and 60364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60348 and 60364.

How to find the GCF of 60348 and 60364?

We will first find the prime factorization of 60348 and 60364. After we will calculate the factors of 60348 and 60364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60364

Prime factors of 60364 are 2, 15091. Prime factorization of 60364 in exponential form is:

60364 = 2² × 15091¹

Step-3: Factors of 60348

List of positive integer factors of 60348 that divides 60348 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

Step-4: Factors of 60364

List of positive integer factors of 60364 that divides 60348 without a remainder.

1, 2, 4, 15091, 30182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60348 and 60364. The biggest common factor number is the GCF number.
So the greatest common factor 60348 and 60364 is 4.

Also check out the Least Common Multiple of 60348 and 60364