What is the Greatest Common Factor of 36264 and 36276?

Greatest common factor (GCF) of 36264 and 36276 is 12.

GCF(36264,36276) = 12

We will now calculate the prime factors of 36264 and 36276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36264 and 36276.

How to find the GCF of 36264 and 36276?

We will first find the prime factorization of 36264 and 36276. After we will calculate the factors of 36264 and 36276 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36276

Prime factors of 36276 are 2, 3, 3023. Prime factorization of 36276 in exponential form is:

36276 = 2² × 3¹ × 3023¹

Step-3: Factors of 36264

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

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

Step-4: Factors of 36276

List of positive integer factors of 36276 that divides 36264 without a remainder.

1, 2, 3, 4, 6, 12, 3023, 6046, 9069, 12092, 18138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36264 and 36276. The biggest common factor number is the GCF number.
So the greatest common factor 36264 and 36276 is 12.

Also check out the Least Common Multiple of 36264 and 36276