What is the Greatest Common Factor of 34491 and 34503?

Greatest common factor (GCF) of 34491 and 34503 is 3.

GCF(34491,34503) = 3

We will now calculate the prime factors of 34491 and 34503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34491 and 34503.

How to find the GCF of 34491 and 34503?

We will first find the prime factorization of 34491 and 34503. After we will calculate the factors of 34491 and 34503 and find the biggest common factor number .

Step-1: Prime Factorization of 34491

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

34491 = 3¹ × 11497¹

Step-2: Prime Factorization of 34503

Prime factors of 34503 are 3, 7, 31, 53. Prime factorization of 34503 in exponential form is:

34503 = 3¹ × 7¹ × 31¹ × 53¹

Step-3: Factors of 34491

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

1, 3, 11497

Step-4: Factors of 34503

List of positive integer factors of 34503 that divides 34491 without a remainder.

1, 3, 7, 21, 31, 53, 93, 159, 217, 371, 651, 1113, 1643, 4929, 11501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34491 and 34503. The biggest common factor number is the GCF number.
So the greatest common factor 34491 and 34503 is 3.

Also check out the Least Common Multiple of 34491 and 34503