What is the Greatest Common Factor of 58290 and 58298?

Greatest common factor (GCF) of 58290 and 58298 is 2.

GCF(58290,58298) = 2

We will now calculate the prime factors of 58290 and 58298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58290 and 58298.

How to find the GCF of 58290 and 58298?

We will first find the prime factorization of 58290 and 58298. After we will calculate the factors of 58290 and 58298 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58298

Prime factors of 58298 are 2, 103, 283. Prime factorization of 58298 in exponential form is:

58298 = 2¹ × 103¹ × 283¹

Step-3: Factors of 58290

List of positive integer factors of 58290 that divides 58290 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

Step-4: Factors of 58298

List of positive integer factors of 58298 that divides 58290 without a remainder.

1, 2, 103, 206, 283, 566, 29149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58290 and 58298. The biggest common factor number is the GCF number.
So the greatest common factor 58290 and 58298 is 2.

Also check out the Least Common Multiple of 58290 and 58298