What is the Greatest Common Factor of 59058 and 59076?

Greatest common factor (GCF) of 59058 and 59076 is 18.

GCF(59058,59076) = 18

We will now calculate the prime factors of 59058 and 59076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59058 and 59076.

How to find the GCF of 59058 and 59076?

We will first find the prime factorization of 59058 and 59076. After we will calculate the factors of 59058 and 59076 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 59076

Prime factors of 59076 are 2, 3, 547. Prime factorization of 59076 in exponential form is:

59076 = 2² × 3³ × 547¹

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 59076

List of positive integer factors of 59076 that divides 59058 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 547, 1094, 1641, 2188, 3282, 4923, 6564, 9846, 14769, 19692, 29538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59058 and 59076. The biggest common factor number is the GCF number.
So the greatest common factor 59058 and 59076 is 18.

Also check out the Least Common Multiple of 59058 and 59076