What is the Greatest Common Factor of 58419 and 58434?

Greatest common factor (GCF) of 58419 and 58434 is 3.

GCF(58419,58434) = 3

We will now calculate the prime factors of 58419 and 58434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58419 and 58434.

How to find the GCF of 58419 and 58434?

We will first find the prime factorization of 58419 and 58434. After we will calculate the factors of 58419 and 58434 and find the biggest common factor number .

Step-1: Prime Factorization of 58419

Prime factors of 58419 are 3, 6491. Prime factorization of 58419 in exponential form is:

58419 = 3² × 6491¹

Step-2: Prime Factorization of 58434

Prime factors of 58434 are 2, 3, 9739. Prime factorization of 58434 in exponential form is:

58434 = 2¹ × 3¹ × 9739¹

Step-3: Factors of 58419

List of positive integer factors of 58419 that divides 58419 without a remainder.

1, 3, 9, 6491, 19473

Step-4: Factors of 58434

List of positive integer factors of 58434 that divides 58419 without a remainder.

1, 2, 3, 6, 9739, 19478, 29217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58419 and 58434. The biggest common factor number is the GCF number.
So the greatest common factor 58419 and 58434 is 3.

Also check out the Least Common Multiple of 58419 and 58434