What is the Greatest Common Factor of 34422 and 34432?

Greatest common factor (GCF) of 34422 and 34432 is 2.

GCF(34422,34432) = 2

We will now calculate the prime factors of 34422 and 34432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34422 and 34432.

How to find the GCF of 34422 and 34432?

We will first find the prime factorization of 34422 and 34432. After we will calculate the factors of 34422 and 34432 and find the biggest common factor number .

Step-1: Prime Factorization of 34422

Prime factors of 34422 are 2, 3, 5737. Prime factorization of 34422 in exponential form is:

34422 = 2¹ × 3¹ × 5737¹

Step-2: Prime Factorization of 34432

Prime factors of 34432 are 2, 269. Prime factorization of 34432 in exponential form is:

34432 = 2⁷ × 269¹

Step-3: Factors of 34422

List of positive integer factors of 34422 that divides 34422 without a remainder.

1, 2, 3, 6, 5737, 11474, 17211

Step-4: Factors of 34432

List of positive integer factors of 34432 that divides 34422 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 269, 538, 1076, 2152, 4304, 8608, 17216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34422 and 34432. The biggest common factor number is the GCF number.
So the greatest common factor 34422 and 34432 is 2.

Also check out the Least Common Multiple of 34422 and 34432