What is the Greatest Common Factor of 34852 and 34857?

Greatest common factor (GCF) of 34852 and 34857 is 1.

GCF(34852,34857) = 1

We will now calculate the prime factors of 34852 and 34857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34852 and 34857.

How to find the GCF of 34852 and 34857?

We will first find the prime factorization of 34852 and 34857. After we will calculate the factors of 34852 and 34857 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 34857

Prime factors of 34857 are 3, 1291. Prime factorization of 34857 in exponential form is:

34857 = 3³ × 1291¹

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 34857

List of positive integer factors of 34857 that divides 34852 without a remainder.

1, 3, 9, 27, 1291, 3873, 11619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34852 and 34857. The biggest common factor number is the GCF number.
So the greatest common factor 34852 and 34857 is 1.

Also check out the Least Common Multiple of 34852 and 34857