What is the Greatest Common Factor of 416 and 432?

Greatest common factor (GCF) of 416 and 432 is 16.

GCF(416,432) = 16

We will now calculate the prime factors of 416 and 432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 416 and 432.

How to find the GCF of 416 and 432?

We will first find the prime factorization of 416 and 432. After we will calculate the factors of 416 and 432 and find the biggest common factor number .

Step-1: Prime Factorization of 416

Prime factors of 416 are 2, 13. Prime factorization of 416 in exponential form is:

416 = 2⁵ × 13¹

Step-2: Prime Factorization of 432

Prime factors of 432 are 2, 3. Prime factorization of 432 in exponential form is:

432 = 2⁴ × 3³

Step-3: Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208

Step-4: Factors of 432

List of positive integer factors of 432 that divides 416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 416 and 432. The biggest common factor number is the GCF number.
So the greatest common factor 416 and 432 is 16.

Also check out the Least Common Multiple of 416 and 432