What is the Greatest Common Factor of 58290 and 58307?

Greatest common factor (GCF) of 58290 and 58307 is 1.

GCF(58290,58307) = 1

We will now calculate the prime factors of 58290 and 58307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58290 and 58307.

How to find the GCF of 58290 and 58307?

We will first find the prime factorization of 58290 and 58307. After we will calculate the factors of 58290 and 58307 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 58307

Prime factors of 58307 are 199, 293. Prime factorization of 58307 in exponential form is:

58307 = 199¹ × 293¹

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 58307

List of positive integer factors of 58307 that divides 58290 without a remainder.

1, 199, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58290 and 58307. The biggest common factor number is the GCF number.
So the greatest common factor 58290 and 58307 is 1.

Also check out the Least Common Multiple of 58290 and 58307