What is the Greatest Common Factor of 34709 and 34726?

Greatest common factor (GCF) of 34709 and 34726 is 1.

GCF(34709,34726) = 1

We will now calculate the prime factors of 34709 and 34726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34709 and 34726.

How to find the GCF of 34709 and 34726?

We will first find the prime factorization of 34709 and 34726. After we will calculate the factors of 34709 and 34726 and find the biggest common factor number .

Step-1: Prime Factorization of 34709

Prime factors of 34709 are 61, 569. Prime factorization of 34709 in exponential form is:

34709 = 61¹ × 569¹

Step-2: Prime Factorization of 34726

Prime factors of 34726 are 2, 97, 179. Prime factorization of 34726 in exponential form is:

34726 = 2¹ × 97¹ × 179¹

Step-3: Factors of 34709

List of positive integer factors of 34709 that divides 34709 without a remainder.

1, 61, 569

Step-4: Factors of 34726

List of positive integer factors of 34726 that divides 34709 without a remainder.

1, 2, 97, 179, 194, 358, 17363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34709 and 34726. The biggest common factor number is the GCF number.
So the greatest common factor 34709 and 34726 is 1.

Also check out the Least Common Multiple of 34709 and 34726