What is the Greatest Common Factor of 60336 and 60348?

Greatest common factor (GCF) of 60336 and 60348 is 12.

GCF(60336,60348) = 12

We will now calculate the prime factors of 60336 and 60348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60336 and 60348.

How to find the GCF of 60336 and 60348?

We will first find the prime factorization of 60336 and 60348. After we will calculate the factors of 60336 and 60348 and find the biggest common factor number .

Step-1: Prime Factorization of 60336

Prime factors of 60336 are 2, 3, 419. Prime factorization of 60336 in exponential form is:

60336 = 2⁴ × 3² × 419¹

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 60336

List of positive integer factors of 60336 that divides 60336 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 419, 838, 1257, 1676, 2514, 3352, 3771, 5028, 6704, 7542, 10056, 15084, 20112, 30168

Step-4: Factors of 60348

List of positive integer factors of 60348 that divides 60336 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 60336 and 60348. The biggest common factor number is the GCF number.
So the greatest common factor 60336 and 60348 is 12.

Also check out the Least Common Multiple of 60336 and 60348