What is the Greatest Common Factor of 36243 and 36252?

Greatest common factor (GCF) of 36243 and 36252 is 9.

GCF(36243,36252) = 9

We will now calculate the prime factors of 36243 and 36252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36243 and 36252.

How to find the GCF of 36243 and 36252?

We will first find the prime factorization of 36243 and 36252. After we will calculate the factors of 36243 and 36252 and find the biggest common factor number .

Step-1: Prime Factorization of 36243

Prime factors of 36243 are 3, 4027. Prime factorization of 36243 in exponential form is:

36243 = 3² × 4027¹

Step-2: 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-3: Factors of 36243

List of positive integer factors of 36243 that divides 36243 without a remainder.

1, 3, 9, 4027, 12081

Step-4: Factors of 36252

List of positive integer factors of 36252 that divides 36243 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36243 and 36252. The biggest common factor number is the GCF number.
So the greatest common factor 36243 and 36252 is 9.

Also check out the Least Common Multiple of 36243 and 36252