What is the Greatest Common Factor of 58343 and 58349?

Greatest common factor (GCF) of 58343 and 58349 is 1.

GCF(58343,58349) = 1

We will now calculate the prime factors of 58343 and 58349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58343 and 58349.

How to find the GCF of 58343 and 58349?

We will first find the prime factorization of 58343 and 58349. After we will calculate the factors of 58343 and 58349 and find the biggest common factor number .

Step-1: Prime Factorization of 58343

Prime factors of 58343 are 41, 1423. Prime factorization of 58343 in exponential form is:

58343 = 41¹ × 1423¹

Step-2: Prime Factorization of 58349

Prime factors of 58349 are 19, 37, 83. Prime factorization of 58349 in exponential form is:

58349 = 19¹ × 37¹ × 83¹

Step-3: Factors of 58343

List of positive integer factors of 58343 that divides 58343 without a remainder.

1, 41, 1423

Step-4: Factors of 58349

List of positive integer factors of 58349 that divides 58343 without a remainder.

1, 19, 37, 83, 703, 1577, 3071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58343 and 58349. The biggest common factor number is the GCF number.
So the greatest common factor 58343 and 58349 is 1.

Also check out the Least Common Multiple of 58343 and 58349