What is the Greatest Common Factor of 34464 and 34468?

Greatest common factor (GCF) of 34464 and 34468 is 4.

GCF(34464,34468) = 4

We will now calculate the prime factors of 34464 and 34468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34464 and 34468.

How to find the GCF of 34464 and 34468?

We will first find the prime factorization of 34464 and 34468. After we will calculate the factors of 34464 and 34468 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 34468

Prime factors of 34468 are 2, 7, 1231. Prime factorization of 34468 in exponential form is:

34468 = 2² × 7¹ × 1231¹

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 34468

List of positive integer factors of 34468 that divides 34464 without a remainder.

1, 2, 4, 7, 14, 28, 1231, 2462, 4924, 8617, 17234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34464 and 34468. The biggest common factor number is the GCF number.
So the greatest common factor 34464 and 34468 is 4.

Also check out the Least Common Multiple of 34464 and 34468