What is the Greatest Common Factor of 34709 and 34721?

Greatest common factor (GCF) of 34709 and 34721 is 1.

GCF(34709,34721) = 1

We will now calculate the prime factors of 34709 and 34721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34709 and 34721.

How to find the GCF of 34709 and 34721?

We will first find the prime factorization of 34709 and 34721. After we will calculate the factors of 34709 and 34721 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 34721

Prime factors of 34721 are 34721. Prime factorization of 34721 in exponential form is:

34721 = 34721¹

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 34721

List of positive integer factors of 34721 that divides 34709 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34709 and 34721. The biggest common factor number is the GCF number.
So the greatest common factor 34709 and 34721 is 1.

Also check out the Least Common Multiple of 34709 and 34721