What is the Greatest Common Factor of 34416 and 34424?

Greatest common factor (GCF) of 34416 and 34424 is 8.

GCF(34416,34424) = 8

We will now calculate the prime factors of 34416 and 34424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34416 and 34424.

How to find the GCF of 34416 and 34424?

We will first find the prime factorization of 34416 and 34424. After we will calculate the factors of 34416 and 34424 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 34424

Prime factors of 34424 are 2, 13, 331. Prime factorization of 34424 in exponential form is:

34424 = 2³ × 13¹ × 331¹

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 34424

List of positive integer factors of 34424 that divides 34416 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 331, 662, 1324, 2648, 4303, 8606, 17212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34416 and 34424. The biggest common factor number is the GCF number.
So the greatest common factor 34416 and 34424 is 8.

Also check out the Least Common Multiple of 34416 and 34424