What is the Greatest Common Factor of 36252 and 36264?

Greatest common factor (GCF) of 36252 and 36264 is 12.

GCF(36252,36264) = 12

We will now calculate the prime factors of 36252 and 36264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36252 and 36264.

How to find the GCF of 36252 and 36264?

We will first find the prime factorization of 36252 and 36264. After we will calculate the factors of 36252 and 36264 and find the biggest common factor number .

Step-1: Prime Factorization of 36252

Prime factors of 36252 are 2, 3, 19, 53. Prime factorization of 36252 in exponential form is:

36252 = 2² × 3² × 19¹ × 53¹

Step-2: Prime Factorization of 36264

Prime factors of 36264 are 2, 3, 1511. Prime factorization of 36264 in exponential form is:

36264 = 2³ × 3¹ × 1511¹

Step-3: Factors of 36252

List of positive integer factors of 36252 that divides 36252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 53, 57, 76, 106, 114, 159, 171, 212, 228, 318, 342, 477, 636, 684, 954, 1007, 1908, 2014, 3021, 4028, 6042, 9063, 12084, 18126

Step-4: Factors of 36264

List of positive integer factors of 36264 that divides 36252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1511, 3022, 4533, 6044, 9066, 12088, 18132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36252 and 36264. The biggest common factor number is the GCF number.
So the greatest common factor 36252 and 36264 is 12.

Also check out the Least Common Multiple of 36252 and 36264