What is the Greatest Common Factor of 59047 and 59058?

Greatest common factor (GCF) of 59047 and 59058 is 1.

GCF(59047,59058) = 1

We will now calculate the prime factors of 59047 and 59058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59047 and 59058.

How to find the GCF of 59047 and 59058?

We will first find the prime factorization of 59047 and 59058. After we will calculate the factors of 59047 and 59058 and find the biggest common factor number .

Step-1: Prime Factorization of 59047

Prime factors of 59047 are 137, 431. Prime factorization of 59047 in exponential form is:

59047 = 137¹ × 431¹

Step-2: Prime Factorization of 59058

Prime factors of 59058 are 2, 3, 17, 193. Prime factorization of 59058 in exponential form is:

59058 = 2¹ × 3² × 17¹ × 193¹

Step-3: Factors of 59047

List of positive integer factors of 59047 that divides 59047 without a remainder.

1, 137, 431

Step-4: Factors of 59058

List of positive integer factors of 59058 that divides 59047 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 193, 306, 386, 579, 1158, 1737, 3281, 3474, 6562, 9843, 19686, 29529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59047 and 59058. The biggest common factor number is the GCF number.
So the greatest common factor 59047 and 59058 is 1.

Also check out the Least Common Multiple of 59047 and 59058