What is the Greatest Common Factor of 34464 and 34476?

Greatest common factor (GCF) of 34464 and 34476 is 12.

GCF(34464,34476) = 12

We will now calculate the prime factors of 34464 and 34476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34464 and 34476.

How to find the GCF of 34464 and 34476?

We will first find the prime factorization of 34464 and 34476. After we will calculate the factors of 34464 and 34476 and find the biggest common factor number .

Step-1: Prime Factorization of 34464

Prime factors of 34464 are 2, 3, 359. Prime factorization of 34464 in exponential form is:

34464 = 2⁵ × 3¹ × 359¹

Step-2: Prime Factorization of 34476

Prime factors of 34476 are 2, 3, 13, 17. Prime factorization of 34476 in exponential form is:

34476 = 2² × 3¹ × 13² × 17¹

Step-3: Factors of 34464

List of positive integer factors of 34464 that divides 34464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 11488, 17232

Step-4: Factors of 34476

List of positive integer factors of 34476 that divides 34464 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 169, 204, 221, 338, 442, 507, 663, 676, 884, 1014, 1326, 2028, 2652, 2873, 5746, 8619, 11492, 17238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34464 and 34476. The biggest common factor number is the GCF number.
So the greatest common factor 34464 and 34476 is 12.

Also check out the Least Common Multiple of 34464 and 34476