What is the Greatest Common Factor of 34491 and 34506?

Greatest common factor (GCF) of 34491 and 34506 is 3.

GCF(34491,34506) = 3

We will now calculate the prime factors of 34491 and 34506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34491 and 34506.

How to find the GCF of 34491 and 34506?

We will first find the prime factorization of 34491 and 34506. After we will calculate the factors of 34491 and 34506 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 34506

Prime factors of 34506 are 2, 3, 71. Prime factorization of 34506 in exponential form is:

34506 = 2¹ × 3⁵ × 71¹

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 34506

List of positive integer factors of 34506 that divides 34491 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 71, 81, 142, 162, 213, 243, 426, 486, 639, 1278, 1917, 3834, 5751, 11502, 17253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34491 and 34506. The biggest common factor number is the GCF number.
So the greatest common factor 34491 and 34506 is 3.

Also check out the Least Common Multiple of 34491 and 34506