What is the Greatest Common Factor of 28725 and 28743?

Greatest common factor (GCF) of 28725 and 28743 is 3.

GCF(28725,28743) = 3

We will now calculate the prime factors of 28725 and 28743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28725 and 28743.

How to find the GCF of 28725 and 28743?

We will first find the prime factorization of 28725 and 28743. After we will calculate the factors of 28725 and 28743 and find the biggest common factor number .

Step-1: Prime Factorization of 28725

Prime factors of 28725 are 3, 5, 383. Prime factorization of 28725 in exponential form is:

28725 = 3¹ × 5² × 383¹

Step-2: Prime Factorization of 28743

Prime factors of 28743 are 3, 11, 13, 67. Prime factorization of 28743 in exponential form is:

28743 = 3¹ × 11¹ × 13¹ × 67¹

Step-3: Factors of 28725

List of positive integer factors of 28725 that divides 28725 without a remainder.

1, 3, 5, 15, 25, 75, 383, 1149, 1915, 5745, 9575

Step-4: Factors of 28743

List of positive integer factors of 28743 that divides 28725 without a remainder.

1, 3, 11, 13, 33, 39, 67, 143, 201, 429, 737, 871, 2211, 2613, 9581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28725 and 28743. The biggest common factor number is the GCF number.
So the greatest common factor 28725 and 28743 is 3.

Also check out the Least Common Multiple of 28725 and 28743