What is the Greatest Common Factor of 34416 and 34436?

Greatest common factor (GCF) of 34416 and 34436 is 4.

GCF(34416,34436) = 4

We will now calculate the prime factors of 34416 and 34436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34416 and 34436.

How to find the GCF of 34416 and 34436?

We will first find the prime factorization of 34416 and 34436. After we will calculate the factors of 34416 and 34436 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 34436

Prime factors of 34436 are 2, 8609. Prime factorization of 34436 in exponential form is:

34436 = 2² × 8609¹

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 34436

List of positive integer factors of 34436 that divides 34416 without a remainder.

1, 2, 4, 8609, 17218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34416 and 34436. The biggest common factor number is the GCF number.
So the greatest common factor 34416 and 34436 is 4.

Also check out the Least Common Multiple of 34416 and 34436