What is the Greatest Common Factor of 34675 and 34691?

Greatest common factor (GCF) of 34675 and 34691 is 1.

GCF(34675,34691) = 1

We will now calculate the prime factors of 34675 and 34691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34675 and 34691.

How to find the GCF of 34675 and 34691?

We will first find the prime factorization of 34675 and 34691. After we will calculate the factors of 34675 and 34691 and find the biggest common factor number .

Step-1: Prime Factorization of 34675

Prime factors of 34675 are 5, 19, 73. Prime factorization of 34675 in exponential form is:

34675 = 5² × 19¹ × 73¹

Step-2: Prime Factorization of 34691

Prime factors of 34691 are 113, 307. Prime factorization of 34691 in exponential form is:

34691 = 113¹ × 307¹

Step-3: Factors of 34675

List of positive integer factors of 34675 that divides 34675 without a remainder.

1, 5, 19, 25, 73, 95, 365, 475, 1387, 1825, 6935

Step-4: Factors of 34691

List of positive integer factors of 34691 that divides 34675 without a remainder.

1, 113, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34675 and 34691. The biggest common factor number is the GCF number.
So the greatest common factor 34675 and 34691 is 1.

Also check out the Least Common Multiple of 34675 and 34691