What is the Greatest Common Factor of 58280 and 58290?

Greatest common factor (GCF) of 58280 and 58290 is 10.

GCF(58280,58290) = 10

We will now calculate the prime factors of 58280 and 58290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58280 and 58290.

How to find the GCF of 58280 and 58290?

We will first find the prime factorization of 58280 and 58290. After we will calculate the factors of 58280 and 58290 and find the biggest common factor number .

Step-1: Prime Factorization of 58280

Prime factors of 58280 are 2, 5, 31, 47. Prime factorization of 58280 in exponential form is:

58280 = 2³ × 5¹ × 31¹ × 47¹

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 58280

List of positive integer factors of 58280 that divides 58280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 47, 62, 94, 124, 155, 188, 235, 248, 310, 376, 470, 620, 940, 1240, 1457, 1880, 2914, 5828, 7285, 11656, 14570, 29140

Step-4: Factors of 58290

List of positive integer factors of 58290 that divides 58280 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 58280 and 58290. The biggest common factor number is the GCF number.
So the greatest common factor 58280 and 58290 is 10.

Also check out the Least Common Multiple of 58280 and 58290