What is the Greatest Common Factor of 58430 and 58435?

Greatest common factor (GCF) of 58430 and 58435 is 5.

GCF(58430,58435) = 5

We will now calculate the prime factors of 58430 and 58435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58430 and 58435.

How to find the GCF of 58430 and 58435?

We will first find the prime factorization of 58430 and 58435. After we will calculate the factors of 58430 and 58435 and find the biggest common factor number .

Step-1: Prime Factorization of 58430

Prime factors of 58430 are 2, 5, 5843. Prime factorization of 58430 in exponential form is:

58430 = 2¹ × 5¹ × 5843¹

Step-2: Prime Factorization of 58435

Prime factors of 58435 are 5, 13, 29, 31. Prime factorization of 58435 in exponential form is:

58435 = 5¹ × 13¹ × 29¹ × 31¹

Step-3: Factors of 58430

List of positive integer factors of 58430 that divides 58430 without a remainder.

1, 2, 5, 10, 5843, 11686, 29215

Step-4: Factors of 58435

List of positive integer factors of 58435 that divides 58430 without a remainder.

1, 5, 13, 29, 31, 65, 145, 155, 377, 403, 899, 1885, 2015, 4495, 11687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58430 and 58435. The biggest common factor number is the GCF number.
So the greatest common factor 58430 and 58435 is 5.

Also check out the Least Common Multiple of 58430 and 58435