What is the Greatest Common Factor of 28580 and 28590?

Greatest common factor (GCF) of 28580 and 28590 is 10.

GCF(28580,28590) = 10

We will now calculate the prime factors of 28580 and 28590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28580 and 28590.

How to find the GCF of 28580 and 28590?

We will first find the prime factorization of 28580 and 28590. After we will calculate the factors of 28580 and 28590 and find the biggest common factor number .

Step-1: Prime Factorization of 28580

Prime factors of 28580 are 2, 5, 1429. Prime factorization of 28580 in exponential form is:

28580 = 2² × 5¹ × 1429¹

Step-2: Prime Factorization of 28590

Prime factors of 28590 are 2, 3, 5, 953. Prime factorization of 28590 in exponential form is:

28590 = 2¹ × 3¹ × 5¹ × 953¹

Step-3: Factors of 28580

List of positive integer factors of 28580 that divides 28580 without a remainder.

1, 2, 4, 5, 10, 20, 1429, 2858, 5716, 7145, 14290

Step-4: Factors of 28590

List of positive integer factors of 28590 that divides 28580 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 953, 1906, 2859, 4765, 5718, 9530, 14295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28580 and 28590. The biggest common factor number is the GCF number.
So the greatest common factor 28580 and 28590 is 10.

Also check out the Least Common Multiple of 28580 and 28590