What is the Greatest Common Factor of 34697 and 34703?

Greatest common factor (GCF) of 34697 and 34703 is 1.

GCF(34697,34703) = 1

We will now calculate the prime factors of 34697 and 34703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34697 and 34703.

How to find the GCF of 34697 and 34703?

We will first find the prime factorization of 34697 and 34703. After we will calculate the factors of 34697 and 34703 and find the biggest common factor number .

Step-1: Prime Factorization of 34697

Prime factors of 34697 are 13, 17, 157. Prime factorization of 34697 in exponential form is:

34697 = 13¹ × 17¹ × 157¹

Step-2: Prime Factorization of 34703

Prime factors of 34703 are 34703. Prime factorization of 34703 in exponential form is:

34703 = 34703¹

Step-3: Factors of 34697

List of positive integer factors of 34697 that divides 34697 without a remainder.

1, 13, 17, 157, 221, 2041, 2669

Step-4: Factors of 34703

List of positive integer factors of 34703 that divides 34697 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34697 and 34703. The biggest common factor number is the GCF number.
So the greatest common factor 34697 and 34703 is 1.

Also check out the Least Common Multiple of 34697 and 34703