What is the Greatest Common Factor of 34419 and 34430?

Greatest common factor (GCF) of 34419 and 34430 is 11.

GCF(34419,34430) = 11

We will now calculate the prime factors of 34419 and 34430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34419 and 34430.

How to find the GCF of 34419 and 34430?

We will first find the prime factorization of 34419 and 34430. After we will calculate the factors of 34419 and 34430 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 34430

Prime factors of 34430 are 2, 5, 11, 313. Prime factorization of 34430 in exponential form is:

34430 = 2¹ × 5¹ × 11¹ × 313¹

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 34430

List of positive integer factors of 34430 that divides 34419 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 313, 626, 1565, 3130, 3443, 6886, 17215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34419 and 34430. The biggest common factor number is the GCF number.
So the greatest common factor 34419 and 34430 is 11.

Also check out the Least Common Multiple of 34419 and 34430