What is the Greatest Common Factor of 34859 and 34864?

Greatest common factor (GCF) of 34859 and 34864 is 1.

GCF(34859,34864) = 1

We will now calculate the prime factors of 34859 and 34864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34859 and 34864.

How to find the GCF of 34859 and 34864?

We will first find the prime factorization of 34859 and 34864. After we will calculate the factors of 34859 and 34864 and find the biggest common factor number .

Step-1: Prime Factorization of 34859

Prime factors of 34859 are 11, 3169. Prime factorization of 34859 in exponential form is:

34859 = 11¹ × 3169¹

Step-2: Prime Factorization of 34864

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

34864 = 2⁴ × 2179¹

Step-3: Factors of 34859

List of positive integer factors of 34859 that divides 34859 without a remainder.

1, 11, 3169

Step-4: Factors of 34864

List of positive integer factors of 34864 that divides 34859 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34859 and 34864. The biggest common factor number is the GCF number.
So the greatest common factor 34859 and 34864 is 1.

Also check out the Least Common Multiple of 34859 and 34864