What is the Greatest Common Factor of 34852 and 34864?

Greatest common factor (GCF) of 34852 and 34864 is 4.

GCF(34852,34864) = 4

We will now calculate the prime factors of 34852 and 34864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34852 and 34864.

How to find the GCF of 34852 and 34864?

We will first find the prime factorization of 34852 and 34864. After we will calculate the factors of 34852 and 34864 and find the biggest common factor number .

Step-1: Prime Factorization of 34852

Prime factors of 34852 are 2, 8713. Prime factorization of 34852 in exponential form is:

34852 = 2² × 8713¹

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 34852

List of positive integer factors of 34852 that divides 34852 without a remainder.

1, 2, 4, 8713, 17426

Step-4: Factors of 34864

List of positive integer factors of 34864 that divides 34852 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 34852 and 34864. The biggest common factor number is the GCF number.
So the greatest common factor 34852 and 34864 is 4.

Also check out the Least Common Multiple of 34852 and 34864