What is the Greatest Common Factor of 36432 and 36444?

Greatest common factor (GCF) of 36432 and 36444 is 12.

GCF(36432,36444) = 12

We will now calculate the prime factors of 36432 and 36444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36432 and 36444.

How to find the GCF of 36432 and 36444?

We will first find the prime factorization of 36432 and 36444. After we will calculate the factors of 36432 and 36444 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 36444

Prime factors of 36444 are 2, 3, 3037. Prime factorization of 36444 in exponential form is:

36444 = 2² × 3¹ × 3037¹

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 36444

List of positive integer factors of 36444 that divides 36432 without a remainder.

1, 2, 3, 4, 6, 12, 3037, 6074, 9111, 12148, 18222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36432 and 36444. The biggest common factor number is the GCF number.
So the greatest common factor 36432 and 36444 is 12.

Also check out the Least Common Multiple of 36432 and 36444