What is the Greatest Common Factor of 34449 and 34461?

Greatest common factor (GCF) of 34449 and 34461 is 3.

GCF(34449,34461) = 3

We will now calculate the prime factors of 34449 and 34461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34449 and 34461.

How to find the GCF of 34449 and 34461?

We will first find the prime factorization of 34449 and 34461. After we will calculate the factors of 34449 and 34461 and find the biggest common factor number .

Step-1: Prime Factorization of 34449

Prime factors of 34449 are 3, 11483. Prime factorization of 34449 in exponential form is:

34449 = 3¹ × 11483¹

Step-2: Prime Factorization of 34461

Prime factors of 34461 are 3, 7, 547. Prime factorization of 34461 in exponential form is:

34461 = 3² × 7¹ × 547¹

Step-3: Factors of 34449

List of positive integer factors of 34449 that divides 34449 without a remainder.

1, 3, 11483

Step-4: Factors of 34461

List of positive integer factors of 34461 that divides 34449 without a remainder.

1, 3, 7, 9, 21, 63, 547, 1641, 3829, 4923, 11487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34449 and 34461. The biggest common factor number is the GCF number.
So the greatest common factor 34449 and 34461 is 3.

Also check out the Least Common Multiple of 34449 and 34461