What is the Greatest Common Factor of 34416 and 34422?

Greatest common factor (GCF) of 34416 and 34422 is 6.

GCF(34416,34422) = 6

We will now calculate the prime factors of 34416 and 34422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34416 and 34422.

How to find the GCF of 34416 and 34422?

We will first find the prime factorization of 34416 and 34422. After we will calculate the factors of 34416 and 34422 and find the biggest common factor number .

Step-1: Prime Factorization of 34416

Prime factors of 34416 are 2, 3, 239. Prime factorization of 34416 in exponential form is:

34416 = 2⁴ × 3² × 239¹

Step-2: 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-3: Factors of 34416

List of positive integer factors of 34416 that divides 34416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 3824, 4302, 5736, 8604, 11472, 17208

Step-4: Factors of 34422

List of positive integer factors of 34422 that divides 34416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34416 and 34422. The biggest common factor number is the GCF number.
So the greatest common factor 34416 and 34422 is 6.

Also check out the Least Common Multiple of 34416 and 34422