What is the Greatest Common Factor of 32416 and 32432?

Greatest common factor (GCF) of 32416 and 32432 is 16.

GCF(32416,32432) = 16

We will now calculate the prime factors of 32416 and 32432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32416 and 32432.

How to find the GCF of 32416 and 32432?

We will first find the prime factorization of 32416 and 32432. After we will calculate the factors of 32416 and 32432 and find the biggest common factor number .

Step-1: Prime Factorization of 32416

Prime factors of 32416 are 2, 1013. Prime factorization of 32416 in exponential form is:

32416 = 2⁵ × 1013¹

Step-2: Prime Factorization of 32432

Prime factors of 32432 are 2, 2027. Prime factorization of 32432 in exponential form is:

32432 = 2⁴ × 2027¹

Step-3: Factors of 32416

List of positive integer factors of 32416 that divides 32416 without a remainder.

1, 2, 4, 8, 16, 32, 1013, 2026, 4052, 8104, 16208

Step-4: Factors of 32432

List of positive integer factors of 32432 that divides 32416 without a remainder.

1, 2, 4, 8, 16, 2027, 4054, 8108, 16216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32416 and 32432. The biggest common factor number is the GCF number.
So the greatest common factor 32416 and 32432 is 16.

Also check out the Least Common Multiple of 32416 and 32432