What is the Greatest Common Factor of 28710 and 28730?

Greatest common factor (GCF) of 28710 and 28730 is 10.

GCF(28710,28730) = 10

We will now calculate the prime factors of 28710 and 28730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28710 and 28730.

How to find the GCF of 28710 and 28730?

We will first find the prime factorization of 28710 and 28730. After we will calculate the factors of 28710 and 28730 and find the biggest common factor number .

Step-1: Prime Factorization of 28710

Prime factors of 28710 are 2, 3, 5, 11, 29. Prime factorization of 28710 in exponential form is:

28710 = 2¹ × 3² × 5¹ × 11¹ × 29¹

Step-2: 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-3: Factors of 28710

List of positive integer factors of 28710 that divides 28710 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 29, 30, 33, 45, 55, 58, 66, 87, 90, 99, 110, 145, 165, 174, 198, 261, 290, 319, 330, 435, 495, 522, 638, 870, 957, 990, 1305, 1595, 1914, 2610, 2871, 3190, 4785, 5742, 9570, 14355

Step-4: Factors of 28730

List of positive integer factors of 28730 that divides 28710 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28710 and 28730. The biggest common factor number is the GCF number.
So the greatest common factor 28710 and 28730 is 10.

Also check out the Least Common Multiple of 28710 and 28730