What is the Greatest Common Factor of 28714 and 28730?

Greatest common factor (GCF) of 28714 and 28730 is 2.

GCF(28714,28730) = 2

We will now calculate the prime factors of 28714 and 28730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28714 and 28730.

How to find the GCF of 28714 and 28730?

We will first find the prime factorization of 28714 and 28730. After we will calculate the factors of 28714 and 28730 and find the biggest common factor number .

Step-1: Prime Factorization of 28714

Prime factors of 28714 are 2, 7, 293. Prime factorization of 28714 in exponential form is:

28714 = 2¹ × 7² × 293¹

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 28714

List of positive integer factors of 28714 that divides 28714 without a remainder.

1, 2, 7, 14, 49, 98, 293, 586, 2051, 4102, 14357

Step-4: Factors of 28730

List of positive integer factors of 28730 that divides 28714 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 28714 and 28730. The biggest common factor number is the GCF number.
So the greatest common factor 28714 and 28730 is 2.

Also check out the Least Common Multiple of 28714 and 28730