What is the Greatest Common Factor of 58434 and 58441?

Greatest common factor (GCF) of 58434 and 58441 is 1.

GCF(58434,58441) = 1

We will now calculate the prime factors of 58434 and 58441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58434 and 58441.

How to find the GCF of 58434 and 58441?

We will first find the prime factorization of 58434 and 58441. After we will calculate the factors of 58434 and 58441 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58441

Prime factors of 58441 are 58441. Prime factorization of 58441 in exponential form is:

58441 = 58441¹

Step-3: Factors of 58434

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

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

Step-4: Factors of 58441

List of positive integer factors of 58441 that divides 58434 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58434 and 58441. The biggest common factor number is the GCF number.
So the greatest common factor 58434 and 58441 is 1.

Also check out the Least Common Multiple of 58434 and 58441