What is the Greatest Common Factor of 36432 and 36443?

Greatest common factor (GCF) of 36432 and 36443 is 11.

GCF(36432,36443) = 11

We will now calculate the prime factors of 36432 and 36443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36432 and 36443.

How to find the GCF of 36432 and 36443?

We will first find the prime factorization of 36432 and 36443. After we will calculate the factors of 36432 and 36443 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 36443

Prime factors of 36443 are 11, 3313. Prime factorization of 36443 in exponential form is:

36443 = 11¹ × 3313¹

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 36443

List of positive integer factors of 36443 that divides 36432 without a remainder.

1, 11, 3313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36432 and 36443. The biggest common factor number is the GCF number.
So the greatest common factor 36432 and 36443 is 11.

Also check out the Least Common Multiple of 36432 and 36443