What is the Greatest Common Factor of 58281 and 58290?

Greatest common factor (GCF) of 58281 and 58290 is 3.

GCF(58281,58290) = 3

We will now calculate the prime factors of 58281 and 58290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58281 and 58290.

How to find the GCF of 58281 and 58290?

We will first find the prime factorization of 58281 and 58290. After we will calculate the factors of 58281 and 58290 and find the biggest common factor number .

Step-1: Prime Factorization of 58281

Prime factors of 58281 are 3, 19427. Prime factorization of 58281 in exponential form is:

58281 = 3¹ × 19427¹

Step-2: Prime Factorization of 58290

Prime factors of 58290 are 2, 3, 5, 29, 67. Prime factorization of 58290 in exponential form is:

58290 = 2¹ × 3¹ × 5¹ × 29¹ × 67¹

Step-3: Factors of 58281

List of positive integer factors of 58281 that divides 58281 without a remainder.

1, 3, 19427

Step-4: Factors of 58290

List of positive integer factors of 58290 that divides 58281 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 67, 87, 134, 145, 174, 201, 290, 335, 402, 435, 670, 870, 1005, 1943, 2010, 3886, 5829, 9715, 11658, 19430, 29145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58281 and 58290. The biggest common factor number is the GCF number.
So the greatest common factor 58281 and 58290 is 3.

Also check out the Least Common Multiple of 58281 and 58290