What is the Greatest Common Factor of 28750 and 28758?

Greatest common factor (GCF) of 28750 and 28758 is 2.

GCF(28750,28758) = 2

We will now calculate the prime factors of 28750 and 28758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28750 and 28758.

How to find the GCF of 28750 and 28758?

We will first find the prime factorization of 28750 and 28758. After we will calculate the factors of 28750 and 28758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28758

Prime factors of 28758 are 2, 3, 4793. Prime factorization of 28758 in exponential form is:

28758 = 2¹ × 3¹ × 4793¹

Step-3: Factors of 28750

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

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

Step-4: Factors of 28758

List of positive integer factors of 28758 that divides 28750 without a remainder.

1, 2, 3, 6, 4793, 9586, 14379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28750 and 28758. The biggest common factor number is the GCF number.
So the greatest common factor 28750 and 28758 is 2.

Also check out the Least Common Multiple of 28750 and 28758