What is the Greatest Common Factor of 34864 and 34868?

Greatest common factor (GCF) of 34864 and 34868 is 4.

GCF(34864,34868) = 4

We will now calculate the prime factors of 34864 and 34868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34864 and 34868.

How to find the GCF of 34864 and 34868?

We will first find the prime factorization of 34864 and 34868. After we will calculate the factors of 34864 and 34868 and find the biggest common factor number .

Step-1: Prime Factorization of 34864

Prime factors of 34864 are 2, 2179. Prime factorization of 34864 in exponential form is:

34864 = 2⁴ × 2179¹

Step-2: Prime Factorization of 34868

Prime factors of 34868 are 2, 23, 379. Prime factorization of 34868 in exponential form is:

34868 = 2² × 23¹ × 379¹

Step-3: Factors of 34864

List of positive integer factors of 34864 that divides 34864 without a remainder.

1, 2, 4, 8, 16, 2179, 4358, 8716, 17432

Step-4: Factors of 34868

List of positive integer factors of 34868 that divides 34864 without a remainder.

1, 2, 4, 23, 46, 92, 379, 758, 1516, 8717, 17434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34864 and 34868. The biggest common factor number is the GCF number.
So the greatest common factor 34864 and 34868 is 4.

Also check out the Least Common Multiple of 34864 and 34868