What is the Greatest Common Factor of 58280 and 58288?

Greatest common factor (GCF) of 58280 and 58288 is 8.

GCF(58280,58288) = 8

We will now calculate the prime factors of 58280 and 58288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58280 and 58288.

How to find the GCF of 58280 and 58288?

We will first find the prime factorization of 58280 and 58288. After we will calculate the factors of 58280 and 58288 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 58288

Prime factors of 58288 are 2, 3643. Prime factorization of 58288 in exponential form is:

58288 = 2⁴ × 3643¹

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 58288

List of positive integer factors of 58288 that divides 58280 without a remainder.

1, 2, 4, 8, 16, 3643, 7286, 14572, 29144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58280 and 58288. The biggest common factor number is the GCF number.
So the greatest common factor 58280 and 58288 is 8.

Also check out the Least Common Multiple of 58280 and 58288