What is the Greatest Common Factor of 28755 and 28771?

Greatest common factor (GCF) of 28755 and 28771 is 1.

GCF(28755,28771) = 1

We will now calculate the prime factors of 28755 and 28771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28755 and 28771.

How to find the GCF of 28755 and 28771?

We will first find the prime factorization of 28755 and 28771. After we will calculate the factors of 28755 and 28771 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28771

Prime factors of 28771 are 28771. Prime factorization of 28771 in exponential form is:

28771 = 28771¹

Step-3: Factors of 28755

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

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

Step-4: Factors of 28771

List of positive integer factors of 28771 that divides 28755 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28755 and 28771. The biggest common factor number is the GCF number.
So the greatest common factor 28755 and 28771 is 1.

Also check out the Least Common Multiple of 28755 and 28771