What is the Greatest Common Factor of 58413 and 58421?

Greatest common factor (GCF) of 58413 and 58421 is 1.

GCF(58413,58421) = 1

We will now calculate the prime factors of 58413 and 58421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58413 and 58421.

How to find the GCF of 58413 and 58421?

We will first find the prime factorization of 58413 and 58421. After we will calculate the factors of 58413 and 58421 and find the biggest common factor number .

Step-1: Prime Factorization of 58413

Prime factors of 58413 are 3, 19471. Prime factorization of 58413 in exponential form is:

58413 = 3¹ × 19471¹

Step-2: Prime Factorization of 58421

Prime factors of 58421 are 11, 47, 113. Prime factorization of 58421 in exponential form is:

58421 = 11¹ × 47¹ × 113¹

Step-3: Factors of 58413

List of positive integer factors of 58413 that divides 58413 without a remainder.

1, 3, 19471

Step-4: Factors of 58421

List of positive integer factors of 58421 that divides 58413 without a remainder.

1, 11, 47, 113, 517, 1243, 5311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58413 and 58421. The biggest common factor number is the GCF number.
So the greatest common factor 58413 and 58421 is 1.

Also check out the Least Common Multiple of 58413 and 58421