What is the Greatest Common Factor of 8432 and 8440?

Greatest common factor (GCF) of 8432 and 8440 is 8.

GCF(8432,8440) = 8

We will now calculate the prime factors of 8432 and 8440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8432 and 8440.

How to find the GCF of 8432 and 8440?

We will first find the prime factorization of 8432 and 8440. After we will calculate the factors of 8432 and 8440 and find the biggest common factor number .

Step-1: Prime Factorization of 8432

Prime factors of 8432 are 2, 17, 31. Prime factorization of 8432 in exponential form is:

8432 = 2⁴ × 17¹ × 31¹

Step-2: Prime Factorization of 8440

Prime factors of 8440 are 2, 5, 211. Prime factorization of 8440 in exponential form is:

8440 = 2³ × 5¹ × 211¹

Step-3: Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216

Step-4: Factors of 8440

List of positive integer factors of 8440 that divides 8432 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8432 and 8440. The biggest common factor number is the GCF number.
So the greatest common factor 8432 and 8440 is 8.

Also check out the Least Common Multiple of 8432 and 8440