What is the Greatest Common Factor of 28755 and 28760?

Greatest common factor (GCF) of 28755 and 28760 is 5.

GCF(28755,28760) = 5

We will now calculate the prime factors of 28755 and 28760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28755 and 28760.

How to find the GCF of 28755 and 28760?

We will first find the prime factorization of 28755 and 28760. After we will calculate the factors of 28755 and 28760 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 28760

Prime factors of 28760 are 2, 5, 719. Prime factorization of 28760 in exponential form is:

28760 = 2³ × 5¹ × 719¹

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 28760

List of positive integer factors of 28760 that divides 28755 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 719, 1438, 2876, 3595, 5752, 7190, 14380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28755 and 28760. The biggest common factor number is the GCF number.
So the greatest common factor 28755 and 28760 is 5.

Also check out the Least Common Multiple of 28755 and 28760