What is the Greatest Common Factor of 34419 and 34431?

Greatest common factor (GCF) of 34419 and 34431 is 3.

GCF(34419,34431) = 3

We will now calculate the prime factors of 34419 and 34431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34419 and 34431.

How to find the GCF of 34419 and 34431?

We will first find the prime factorization of 34419 and 34431. After we will calculate the factors of 34419 and 34431 and find the biggest common factor number .

Step-1: Prime Factorization of 34419

Prime factors of 34419 are 3, 7, 11, 149. Prime factorization of 34419 in exponential form is:

34419 = 3¹ × 7¹ × 11¹ × 149¹

Step-2: Prime Factorization of 34431

Prime factors of 34431 are 3, 23, 499. Prime factorization of 34431 in exponential form is:

34431 = 3¹ × 23¹ × 499¹

Step-3: Factors of 34419

List of positive integer factors of 34419 that divides 34419 without a remainder.

1, 3, 7, 11, 21, 33, 77, 149, 231, 447, 1043, 1639, 3129, 4917, 11473

Step-4: Factors of 34431

List of positive integer factors of 34431 that divides 34419 without a remainder.

1, 3, 23, 69, 499, 1497, 11477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34419 and 34431. The biggest common factor number is the GCF number.
So the greatest common factor 34419 and 34431 is 3.

Also check out the Least Common Multiple of 34419 and 34431