What is the Greatest Common Factor of 60252 and 60264?

Greatest common factor (GCF) of 60252 and 60264 is 12.

GCF(60252,60264) = 12

We will now calculate the prime factors of 60252 and 60264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60252 and 60264.

How to find the GCF of 60252 and 60264?

We will first find the prime factorization of 60252 and 60264. After we will calculate the factors of 60252 and 60264 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60264

Prime factors of 60264 are 2, 3, 31. Prime factorization of 60264 in exponential form is:

60264 = 2³ × 3⁵ × 31¹

Step-3: Factors of 60252

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

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

Step-4: Factors of 60264

List of positive integer factors of 60264 that divides 60252 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 81, 93, 108, 124, 162, 186, 216, 243, 248, 279, 324, 372, 486, 558, 648, 744, 837, 972, 1116, 1674, 1944, 2232, 2511, 3348, 5022, 6696, 7533, 10044, 15066, 20088, 30132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60252 and 60264. The biggest common factor number is the GCF number.
So the greatest common factor 60252 and 60264 is 12.

Also check out the Least Common Multiple of 60252 and 60264