What is the Greatest Common Factor of 36416 and 36432?

Greatest common factor (GCF) of 36416 and 36432 is 16.

GCF(36416,36432) = 16

We will now calculate the prime factors of 36416 and 36432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36416 and 36432.

How to find the GCF of 36416 and 36432?

We will first find the prime factorization of 36416 and 36432. After we will calculate the factors of 36416 and 36432 and find the biggest common factor number .

Step-1: Prime Factorization of 36416

Prime factors of 36416 are 2, 569. Prime factorization of 36416 in exponential form is:

36416 = 2⁶ × 569¹

Step-2: 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-3: Factors of 36416

List of positive integer factors of 36416 that divides 36416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 569, 1138, 2276, 4552, 9104, 18208

Step-4: Factors of 36432

List of positive integer factors of 36432 that divides 36416 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36416 and 36432. The biggest common factor number is the GCF number.
So the greatest common factor 36416 and 36432 is 16.

Also check out the Least Common Multiple of 36416 and 36432