What is the Greatest Common Factor of 34474 and 34491?

Greatest common factor (GCF) of 34474 and 34491 is 1.

GCF(34474,34491) = 1

We will now calculate the prime factors of 34474 and 34491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34474 and 34491.

How to find the GCF of 34474 and 34491?

We will first find the prime factorization of 34474 and 34491. After we will calculate the factors of 34474 and 34491 and find the biggest common factor number .

Step-1: Prime Factorization of 34474

Prime factors of 34474 are 2, 11, 1567. Prime factorization of 34474 in exponential form is:

34474 = 2¹ × 11¹ × 1567¹

Step-2: Prime Factorization of 34491

Prime factors of 34491 are 3, 11497. Prime factorization of 34491 in exponential form is:

34491 = 3¹ × 11497¹

Step-3: Factors of 34474

List of positive integer factors of 34474 that divides 34474 without a remainder.

1, 2, 11, 22, 1567, 3134, 17237

Step-4: Factors of 34491

List of positive integer factors of 34491 that divides 34474 without a remainder.

1, 3, 11497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34474 and 34491. The biggest common factor number is the GCF number.
So the greatest common factor 34474 and 34491 is 1.

Also check out the Least Common Multiple of 34474 and 34491