What is the Greatest Common Factor of 60228 and 60240?

Greatest common factor (GCF) of 60228 and 60240 is 12.

GCF(60228,60240) = 12

We will now calculate the prime factors of 60228 and 60240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60228 and 60240.

How to find the GCF of 60228 and 60240?

We will first find the prime factorization of 60228 and 60240. After we will calculate the factors of 60228 and 60240 and find the biggest common factor number .

Step-1: Prime Factorization of 60228

Prime factors of 60228 are 2, 3, 7, 239. Prime factorization of 60228 in exponential form is:

60228 = 2² × 3² × 7¹ × 239¹

Step-2: Prime Factorization of 60240

Prime factors of 60240 are 2, 3, 5, 251. Prime factorization of 60240 in exponential form is:

60240 = 2⁴ × 3¹ × 5¹ × 251¹

Step-3: Factors of 60228

List of positive integer factors of 60228 that divides 60228 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 239, 252, 478, 717, 956, 1434, 1673, 2151, 2868, 3346, 4302, 5019, 6692, 8604, 10038, 15057, 20076, 30114

Step-4: Factors of 60240

List of positive integer factors of 60240 that divides 60228 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 251, 502, 753, 1004, 1255, 1506, 2008, 2510, 3012, 3765, 4016, 5020, 6024, 7530, 10040, 12048, 15060, 20080, 30120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60228 and 60240. The biggest common factor number is the GCF number.
So the greatest common factor 60228 and 60240 is 12.

Also check out the Least Common Multiple of 60228 and 60240