What is the Greatest Common Factor of 34685 and 34697?

Greatest common factor (GCF) of 34685 and 34697 is 1.

GCF(34685,34697) = 1

We will now calculate the prime factors of 34685 and 34697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34685 and 34697.

How to find the GCF of 34685 and 34697?

We will first find the prime factorization of 34685 and 34697. After we will calculate the factors of 34685 and 34697 and find the biggest common factor number .

Step-1: Prime Factorization of 34685

Prime factors of 34685 are 5, 7, 991. Prime factorization of 34685 in exponential form is:

34685 = 5¹ × 7¹ × 991¹

Step-2: 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-3: Factors of 34685

List of positive integer factors of 34685 that divides 34685 without a remainder.

1, 5, 7, 35, 991, 4955, 6937

Step-4: Factors of 34697

List of positive integer factors of 34697 that divides 34685 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34685 and 34697. The biggest common factor number is the GCF number.
So the greatest common factor 34685 and 34697 is 1.

Also check out the Least Common Multiple of 34685 and 34697