What is the Greatest Common Factor of 36312 and 36324?

Greatest common factor (GCF) of 36312 and 36324 is 12.

GCF(36312,36324) = 12

We will now calculate the prime factors of 36312 and 36324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36312 and 36324.

How to find the GCF of 36312 and 36324?

We will first find the prime factorization of 36312 and 36324. After we will calculate the factors of 36312 and 36324 and find the biggest common factor number .

Step-1: Prime Factorization of 36312

Prime factors of 36312 are 2, 3, 17, 89. Prime factorization of 36312 in exponential form is:

36312 = 2³ × 3¹ × 17¹ × 89¹

Step-2: Prime Factorization of 36324

Prime factors of 36324 are 2, 3, 1009. Prime factorization of 36324 in exponential form is:

36324 = 2² × 3² × 1009¹

Step-3: Factors of 36312

List of positive integer factors of 36312 that divides 36312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156

Step-4: Factors of 36324

List of positive integer factors of 36324 that divides 36312 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1009, 2018, 3027, 4036, 6054, 9081, 12108, 18162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36312 and 36324. The biggest common factor number is the GCF number.
So the greatest common factor 36312 and 36324 is 12.

Also check out the Least Common Multiple of 36312 and 36324