What is the Greatest Common Factor of 58429 and 58433?

Greatest common factor (GCF) of 58429 and 58433 is 1.

GCF(58429,58433) = 1

We will now calculate the prime factors of 58429 and 58433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58429 and 58433.

How to find the GCF of 58429 and 58433?

We will first find the prime factorization of 58429 and 58433. After we will calculate the factors of 58429 and 58433 and find the biggest common factor number .

Step-1: Prime Factorization of 58429

Prime factors of 58429 are 7, 17, 491. Prime factorization of 58429 in exponential form is:

58429 = 7¹ × 17¹ × 491¹

Step-2: Prime Factorization of 58433

Prime factors of 58433 are 71, 823. Prime factorization of 58433 in exponential form is:

58433 = 71¹ × 823¹

Step-3: Factors of 58429

List of positive integer factors of 58429 that divides 58429 without a remainder.

1, 7, 17, 119, 491, 3437, 8347

Step-4: Factors of 58433

List of positive integer factors of 58433 that divides 58429 without a remainder.

1, 71, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58429 and 58433. The biggest common factor number is the GCF number.
So the greatest common factor 58429 and 58433 is 1.

Also check out the Least Common Multiple of 58429 and 58433