What is the Greatest Common Factor of 28737 and 28755?

Greatest common factor (GCF) of 28737 and 28755 is 9.

GCF(28737,28755) = 9

We will now calculate the prime factors of 28737 and 28755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28737 and 28755.

How to find the GCF of 28737 and 28755?

We will first find the prime factorization of 28737 and 28755. After we will calculate the factors of 28737 and 28755 and find the biggest common factor number .

Step-1: Prime Factorization of 28737

Prime factors of 28737 are 3, 31, 103. Prime factorization of 28737 in exponential form is:

28737 = 3² × 31¹ × 103¹

Step-2: Prime Factorization of 28755

Prime factors of 28755 are 3, 5, 71. Prime factorization of 28755 in exponential form is:

28755 = 3⁴ × 5¹ × 71¹

Step-3: Factors of 28737

List of positive integer factors of 28737 that divides 28737 without a remainder.

1, 3, 9, 31, 93, 103, 279, 309, 927, 3193, 9579

Step-4: Factors of 28755

List of positive integer factors of 28755 that divides 28737 without a remainder.

1, 3, 5, 9, 15, 27, 45, 71, 81, 135, 213, 355, 405, 639, 1065, 1917, 3195, 5751, 9585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28737 and 28755. The biggest common factor number is the GCF number.
So the greatest common factor 28737 and 28755 is 9.

Also check out the Least Common Multiple of 28737 and 28755