What is the Greatest Common Factor of 34911 and 34923?

Greatest common factor (GCF) of 34911 and 34923 is 3.

GCF(34911,34923) = 3

We will now calculate the prime factors of 34911 and 34923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34911 and 34923.

How to find the GCF of 34911 and 34923?

We will first find the prime factorization of 34911 and 34923. After we will calculate the factors of 34911 and 34923 and find the biggest common factor number .

Step-1: Prime Factorization of 34911

Prime factors of 34911 are 3, 431. Prime factorization of 34911 in exponential form is:

34911 = 3⁴ × 431¹

Step-2: Prime Factorization of 34923

Prime factors of 34923 are 3, 7, 1663. Prime factorization of 34923 in exponential form is:

34923 = 3¹ × 7¹ × 1663¹

Step-3: Factors of 34911

List of positive integer factors of 34911 that divides 34911 without a remainder.

1, 3, 9, 27, 81, 431, 1293, 3879, 11637

Step-4: Factors of 34923

List of positive integer factors of 34923 that divides 34911 without a remainder.

1, 3, 7, 21, 1663, 4989, 11641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34911 and 34923. The biggest common factor number is the GCF number.
So the greatest common factor 34911 and 34923 is 3.

Also check out the Least Common Multiple of 34911 and 34923