What is the Greatest Common Factor of 36432 and 36439?

Greatest common factor (GCF) of 36432 and 36439 is 1.

GCF(36432,36439) = 1

We will now calculate the prime factors of 36432 and 36439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36432 and 36439.

How to find the GCF of 36432 and 36439?

We will first find the prime factorization of 36432 and 36439. After we will calculate the factors of 36432 and 36439 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 36439

Prime factors of 36439 are 13, 2803. Prime factorization of 36439 in exponential form is:

36439 = 13¹ × 2803¹

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 36439

List of positive integer factors of 36439 that divides 36432 without a remainder.

1, 13, 2803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36432 and 36439. The biggest common factor number is the GCF number.
So the greatest common factor 36432 and 36439 is 1.

Also check out the Least Common Multiple of 36432 and 36439