What is the Greatest Common Factor of 34657 and 34670?

Greatest common factor (GCF) of 34657 and 34670 is 1.

GCF(34657,34670) = 1

We will now calculate the prime factors of 34657 and 34670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34657 and 34670.

How to find the GCF of 34657 and 34670?

We will first find the prime factorization of 34657 and 34670. After we will calculate the factors of 34657 and 34670 and find the biggest common factor number .

Step-1: Prime Factorization of 34657

Prime factors of 34657 are 7, 4951. Prime factorization of 34657 in exponential form is:

34657 = 7¹ × 4951¹

Step-2: Prime Factorization of 34670

Prime factors of 34670 are 2, 5, 3467. Prime factorization of 34670 in exponential form is:

34670 = 2¹ × 5¹ × 3467¹

Step-3: Factors of 34657

List of positive integer factors of 34657 that divides 34657 without a remainder.

1, 7, 4951

Step-4: Factors of 34670

List of positive integer factors of 34670 that divides 34657 without a remainder.

1, 2, 5, 10, 3467, 6934, 17335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34657 and 34670. The biggest common factor number is the GCF number.
So the greatest common factor 34657 and 34670 is 1.

Also check out the Least Common Multiple of 34657 and 34670