What is the Greatest Common Factor of 58260 and 58270?

Greatest common factor (GCF) of 58260 and 58270 is 10.

GCF(58260,58270) = 10

We will now calculate the prime factors of 58260 and 58270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58260 and 58270.

How to find the GCF of 58260 and 58270?

We will first find the prime factorization of 58260 and 58270. After we will calculate the factors of 58260 and 58270 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 58270

Prime factors of 58270 are 2, 5, 5827. Prime factorization of 58270 in exponential form is:

58270 = 2¹ × 5¹ × 5827¹

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 58270

List of positive integer factors of 58270 that divides 58260 without a remainder.

1, 2, 5, 10, 5827, 11654, 29135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58260 and 58270. The biggest common factor number is the GCF number.
So the greatest common factor 58260 and 58270 is 10.

Also check out the Least Common Multiple of 58260 and 58270