What is the Greatest Common Factor of 34461 and 34476?

Greatest common factor (GCF) of 34461 and 34476 is 3.

GCF(34461,34476) = 3

We will now calculate the prime factors of 34461 and 34476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34461 and 34476.

How to find the GCF of 34461 and 34476?

We will first find the prime factorization of 34461 and 34476. After we will calculate the factors of 34461 and 34476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34476

Prime factors of 34476 are 2, 3, 13, 17. Prime factorization of 34476 in exponential form is:

34476 = 2² × 3¹ × 13² × 17¹

Step-3: Factors of 34461

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

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

Step-4: Factors of 34476

List of positive integer factors of 34476 that divides 34461 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 169, 204, 221, 338, 442, 507, 663, 676, 884, 1014, 1326, 2028, 2652, 2873, 5746, 8619, 11492, 17238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34461 and 34476. The biggest common factor number is the GCF number.
So the greatest common factor 34461 and 34476 is 3.

Also check out the Least Common Multiple of 34461 and 34476