What is the Greatest Common Factor of 59058 and 59062?

Greatest common factor (GCF) of 59058 and 59062 is 2.

GCF(59058,59062) = 2

We will now calculate the prime factors of 59058 and 59062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59058 and 59062.

How to find the GCF of 59058 and 59062?

We will first find the prime factorization of 59058 and 59062. After we will calculate the factors of 59058 and 59062 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59062

Prime factors of 59062 are 2, 29531. Prime factorization of 59062 in exponential form is:

59062 = 2¹ × 29531¹

Step-3: Factors of 59058

List of positive integer factors of 59058 that divides 59058 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

Step-4: Factors of 59062

List of positive integer factors of 59062 that divides 59058 without a remainder.

1, 2, 29531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59058 and 59062. The biggest common factor number is the GCF number.
So the greatest common factor 59058 and 59062 is 2.

Also check out the Least Common Multiple of 59058 and 59062