What is the Greatest Common Factor of 28750 and 28765?

Greatest common factor (GCF) of 28750 and 28765 is 5.

GCF(28750,28765) = 5

We will now calculate the prime factors of 28750 and 28765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28750 and 28765.

How to find the GCF of 28750 and 28765?

We will first find the prime factorization of 28750 and 28765. After we will calculate the factors of 28750 and 28765 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 28765

Prime factors of 28765 are 5, 11, 523. Prime factorization of 28765 in exponential form is:

28765 = 5¹ × 11¹ × 523¹

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 28765

List of positive integer factors of 28765 that divides 28750 without a remainder.

1, 5, 11, 55, 523, 2615, 5753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28750 and 28765. The biggest common factor number is the GCF number.
So the greatest common factor 28750 and 28765 is 5.

Also check out the Least Common Multiple of 28750 and 28765