What is the Greatest Common Factor of 60360 and 60372?

Greatest common factor (GCF) of 60360 and 60372 is 12.

GCF(60360,60372) = 12

We will now calculate the prime factors of 60360 and 60372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60360 and 60372.

How to find the GCF of 60360 and 60372?

We will first find the prime factorization of 60360 and 60372. After we will calculate the factors of 60360 and 60372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60372

Prime factors of 60372 are 2, 3, 13, 43. Prime factorization of 60372 in exponential form is:

60372 = 2² × 3³ × 13¹ × 43¹

Step-3: Factors of 60360

List of positive integer factors of 60360 that divides 60360 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

Step-4: Factors of 60372

List of positive integer factors of 60372 that divides 60360 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 43, 52, 54, 78, 86, 108, 117, 129, 156, 172, 234, 258, 351, 387, 468, 516, 559, 702, 774, 1118, 1161, 1404, 1548, 1677, 2236, 2322, 3354, 4644, 5031, 6708, 10062, 15093, 20124, 30186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60360 and 60372. The biggest common factor number is the GCF number.
So the greatest common factor 60360 and 60372 is 12.

Also check out the Least Common Multiple of 60360 and 60372