What is the Greatest Common Factor of 34704 and 34718?

Greatest common factor (GCF) of 34704 and 34718 is 2.

GCF(34704,34718) = 2

We will now calculate the prime factors of 34704 and 34718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34704 and 34718.

How to find the GCF of 34704 and 34718?

We will first find the prime factorization of 34704 and 34718. After we will calculate the factors of 34704 and 34718 and find the biggest common factor number .

Step-1: Prime Factorization of 34704

Prime factors of 34704 are 2, 3, 241. Prime factorization of 34704 in exponential form is:

34704 = 2⁴ × 3² × 241¹

Step-2: Prime Factorization of 34718

Prime factors of 34718 are 2, 17359. Prime factorization of 34718 in exponential form is:

34718 = 2¹ × 17359¹

Step-3: Factors of 34704

List of positive integer factors of 34704 that divides 34704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 241, 482, 723, 964, 1446, 1928, 2169, 2892, 3856, 4338, 5784, 8676, 11568, 17352

Step-4: Factors of 34718

List of positive integer factors of 34718 that divides 34704 without a remainder.

1, 2, 17359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34704 and 34718. The biggest common factor number is the GCF number.
So the greatest common factor 34704 and 34718 is 2.

Also check out the Least Common Multiple of 34704 and 34718