What is the Greatest Common Factor of 36432 and 36447?

Greatest common factor (GCF) of 36432 and 36447 is 3.

GCF(36432,36447) = 3

We will now calculate the prime factors of 36432 and 36447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36432 and 36447.

How to find the GCF of 36432 and 36447?

We will first find the prime factorization of 36432 and 36447. After we will calculate the factors of 36432 and 36447 and find the biggest common factor number .

Step-1: Prime Factorization of 36432

Prime factors of 36432 are 2, 3, 11, 23. Prime factorization of 36432 in exponential form is:

36432 = 2⁴ × 3² × 11¹ × 23¹

Step-2: Prime Factorization of 36447

Prime factors of 36447 are 3, 12149. Prime factorization of 36447 in exponential form is:

36447 = 3¹ × 12149¹

Step-3: Factors of 36432

List of positive integer factors of 36432 that divides 36432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 23, 24, 33, 36, 44, 46, 48, 66, 69, 72, 88, 92, 99, 132, 138, 144, 176, 184, 198, 207, 253, 264, 276, 368, 396, 414, 506, 528, 552, 759, 792, 828, 1012, 1104, 1518, 1584, 1656, 2024, 2277, 3036, 3312, 4048, 4554, 6072, 9108, 12144, 18216

Step-4: Factors of 36447

List of positive integer factors of 36447 that divides 36432 without a remainder.

1, 3, 12149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36432 and 36447. The biggest common factor number is the GCF number.
So the greatest common factor 36432 and 36447 is 3.

Also check out the Least Common Multiple of 36432 and 36447