What is the Greatest Common Factor of 28750 and 28770?

Greatest common factor (GCF) of 28750 and 28770 is 10.

GCF(28750,28770) = 10

We will now calculate the prime factors of 28750 and 28770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28750 and 28770.

How to find the GCF of 28750 and 28770?

We will first find the prime factorization of 28750 and 28770. After we will calculate the factors of 28750 and 28770 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 28770

Prime factors of 28770 are 2, 3, 5, 7, 137. Prime factorization of 28770 in exponential form is:

28770 = 2¹ × 3¹ × 5¹ × 7¹ × 137¹

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 28770

List of positive integer factors of 28770 that divides 28750 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 137, 210, 274, 411, 685, 822, 959, 1370, 1918, 2055, 2877, 4110, 4795, 5754, 9590, 14385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28750 and 28770. The biggest common factor number is the GCF number.
So the greatest common factor 28750 and 28770 is 10.

Also check out the Least Common Multiple of 28750 and 28770