What is the Greatest Common Factor of 28730 and 28750?

Greatest common factor (GCF) of 28730 and 28750 is 10.

GCF(28730,28750) = 10

We will now calculate the prime factors of 28730 and 28750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28730 and 28750.

How to find the GCF of 28730 and 28750?

We will first find the prime factorization of 28730 and 28750. After we will calculate the factors of 28730 and 28750 and find the biggest common factor number .

Step-1: Prime Factorization of 28730

Prime factors of 28730 are 2, 5, 13, 17. Prime factorization of 28730 in exponential form is:

28730 = 2¹ × 5¹ × 13² × 17¹

Step-2: Prime Factorization of 28750

Prime factors of 28750 are 2, 5, 23. Prime factorization of 28750 in exponential form is:

28750 = 2¹ × 5⁴ × 23¹

Step-3: Factors of 28730

List of positive integer factors of 28730 that divides 28730 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 169, 170, 221, 338, 442, 845, 1105, 1690, 2210, 2873, 5746, 14365

Step-4: Factors of 28750

List of positive integer factors of 28750 that divides 28730 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 625, 1150, 1250, 2875, 5750, 14375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28730 and 28750. The biggest common factor number is the GCF number.
So the greatest common factor 28730 and 28750 is 10.

Also check out the Least Common Multiple of 28730 and 28750