What is the Greatest Common Factor of 60348 and 60360?

Greatest common factor (GCF) of 60348 and 60360 is 12.

GCF(60348,60360) = 12

We will now calculate the prime factors of 60348 and 60360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60348 and 60360.

How to find the GCF of 60348 and 60360?

We will first find the prime factorization of 60348 and 60360. After we will calculate the factors of 60348 and 60360 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 60360

Prime factors of 60360 are 2, 3, 5, 503. Prime factorization of 60360 in exponential form is:

60360 = 2³ × 3¹ × 5¹ × 503¹

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 60360

List of positive integer factors of 60360 that divides 60348 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 503, 1006, 1509, 2012, 2515, 3018, 4024, 5030, 6036, 7545, 10060, 12072, 15090, 20120, 30180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60348 and 60360. The biggest common factor number is the GCF number.
So the greatest common factor 60348 and 60360 is 12.

Also check out the Least Common Multiple of 60348 and 60360