What is the Greatest Common Factor of 60240 and 60252?

Greatest common factor (GCF) of 60240 and 60252 is 12.

GCF(60240,60252) = 12

We will now calculate the prime factors of 60240 and 60252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60240 and 60252.

How to find the GCF of 60240 and 60252?

We will first find the prime factorization of 60240 and 60252. After we will calculate the factors of 60240 and 60252 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60252

Prime factors of 60252 are 2, 3, 5021. Prime factorization of 60252 in exponential form is:

60252 = 2² × 3¹ × 5021¹

Step-3: Factors of 60240

List of positive integer factors of 60240 that divides 60240 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

Step-4: Factors of 60252

List of positive integer factors of 60252 that divides 60240 without a remainder.

1, 2, 3, 4, 6, 12, 5021, 10042, 15063, 20084, 30126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60240 and 60252. The biggest common factor number is the GCF number.
So the greatest common factor 60240 and 60252 is 12.

Also check out the Least Common Multiple of 60240 and 60252