What is the Greatest Common Factor of 34419 and 34438?

Greatest common factor (GCF) of 34419 and 34438 is 1.

GCF(34419,34438) = 1

We will now calculate the prime factors of 34419 and 34438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34419 and 34438.

How to find the GCF of 34419 and 34438?

We will first find the prime factorization of 34419 and 34438. After we will calculate the factors of 34419 and 34438 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 34438

Prime factors of 34438 are 2, 67, 257. Prime factorization of 34438 in exponential form is:

34438 = 2¹ × 67¹ × 257¹

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 34438

List of positive integer factors of 34438 that divides 34419 without a remainder.

1, 2, 67, 134, 257, 514, 17219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34419 and 34438. The biggest common factor number is the GCF number.
So the greatest common factor 34419 and 34438 is 1.

Also check out the Least Common Multiple of 34419 and 34438