What is the Greatest Common Factor of 28290 and 28310?

Greatest common factor (GCF) of 28290 and 28310 is 10.

GCF(28290,28310) = 10

We will now calculate the prime factors of 28290 and 28310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28290 and 28310.

How to find the GCF of 28290 and 28310?

We will first find the prime factorization of 28290 and 28310. After we will calculate the factors of 28290 and 28310 and find the biggest common factor number .

Step-1: Prime Factorization of 28290

Prime factors of 28290 are 2, 3, 5, 23, 41. Prime factorization of 28290 in exponential form is:

28290 = 2¹ × 3¹ × 5¹ × 23¹ × 41¹

Step-2: Prime Factorization of 28310

Prime factors of 28310 are 2, 5, 19, 149. Prime factorization of 28310 in exponential form is:

28310 = 2¹ × 5¹ × 19¹ × 149¹

Step-3: Factors of 28290

List of positive integer factors of 28290 that divides 28290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 41, 46, 69, 82, 115, 123, 138, 205, 230, 246, 345, 410, 615, 690, 943, 1230, 1886, 2829, 4715, 5658, 9430, 14145

Step-4: Factors of 28310

List of positive integer factors of 28310 that divides 28290 without a remainder.

1, 2, 5, 10, 19, 38, 95, 149, 190, 298, 745, 1490, 2831, 5662, 14155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28290 and 28310. The biggest common factor number is the GCF number.
So the greatest common factor 28290 and 28310 is 10.

Also check out the Least Common Multiple of 28290 and 28310