What is the Greatest Common Factor of 34864 and 34873?

Greatest common factor (GCF) of 34864 and 34873 is 1.

GCF(34864,34873) = 1

We will now calculate the prime factors of 34864 and 34873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34864 and 34873.

How to find the GCF of 34864 and 34873?

We will first find the prime factorization of 34864 and 34873. After we will calculate the factors of 34864 and 34873 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 34873

Prime factors of 34873 are 43, 811. Prime factorization of 34873 in exponential form is:

34873 = 43¹ × 811¹

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 34873

List of positive integer factors of 34873 that divides 34864 without a remainder.

1, 43, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34864 and 34873. The biggest common factor number is the GCF number.
So the greatest common factor 34864 and 34873 is 1.

Also check out the Least Common Multiple of 34864 and 34873