What is the Greatest Common Factor of 58420 and 58433?

Greatest common factor (GCF) of 58420 and 58433 is 1.

GCF(58420,58433) = 1

We will now calculate the prime factors of 58420 and 58433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58420 and 58433.

How to find the GCF of 58420 and 58433?

We will first find the prime factorization of 58420 and 58433. After we will calculate the factors of 58420 and 58433 and find the biggest common factor number .

Step-1: Prime Factorization of 58420

Prime factors of 58420 are 2, 5, 23, 127. Prime factorization of 58420 in exponential form is:

58420 = 2² × 5¹ × 23¹ × 127¹

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 58420

List of positive integer factors of 58420 that divides 58420 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 127, 230, 254, 460, 508, 635, 1270, 2540, 2921, 5842, 11684, 14605, 29210

Step-4: Factors of 58433

List of positive integer factors of 58433 that divides 58420 without a remainder.

1, 71, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58420 and 58433. The biggest common factor number is the GCF number.
So the greatest common factor 58420 and 58433 is 1.

Also check out the Least Common Multiple of 58420 and 58433