What is the Greatest Common Factor of 34419 and 34423?

Greatest common factor (GCF) of 34419 and 34423 is 1.

GCF(34419,34423) = 1

We will now calculate the prime factors of 34419 and 34423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34419 and 34423.

How to find the GCF of 34419 and 34423?

We will first find the prime factorization of 34419 and 34423. After we will calculate the factors of 34419 and 34423 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 34423

Prime factors of 34423 are 29, 1187. Prime factorization of 34423 in exponential form is:

34423 = 29¹ × 1187¹

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 34423

List of positive integer factors of 34423 that divides 34419 without a remainder.

1, 29, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34419 and 34423. The biggest common factor number is the GCF number.
So the greatest common factor 34419 and 34423 is 1.

Also check out the Least Common Multiple of 34419 and 34423