What is the Greatest Common Factor of 58260 and 58280?

Greatest common factor (GCF) of 58260 and 58280 is 20.

GCF(58260,58280) = 20

We will now calculate the prime factors of 58260 and 58280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58260 and 58280.

How to find the GCF of 58260 and 58280?

We will first find the prime factorization of 58260 and 58280. After we will calculate the factors of 58260 and 58280 and find the biggest common factor number .

Step-1: Prime Factorization of 58260

Prime factors of 58260 are 2, 3, 5, 971. Prime factorization of 58260 in exponential form is:

58260 = 2² × 3¹ × 5¹ × 971¹

Step-2: 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-3: Factors of 58260

List of positive integer factors of 58260 that divides 58260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 971, 1942, 2913, 3884, 4855, 5826, 9710, 11652, 14565, 19420, 29130

Step-4: Factors of 58280

List of positive integer factors of 58280 that divides 58260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58260 and 58280. The biggest common factor number is the GCF number.
So the greatest common factor 58260 and 58280 is 20.

Also check out the Least Common Multiple of 58260 and 58280