What is the Greatest Common Factor of 28755 and 28764?

Greatest common factor (GCF) of 28755 and 28764 is 9.

GCF(28755,28764) = 9

We will now calculate the prime factors of 28755 and 28764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28755 and 28764.

How to find the GCF of 28755 and 28764?

We will first find the prime factorization of 28755 and 28764. After we will calculate the factors of 28755 and 28764 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 28764

Prime factors of 28764 are 2, 3, 17, 47. Prime factorization of 28764 in exponential form is:

28764 = 2² × 3² × 17¹ × 47¹

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 28764

List of positive integer factors of 28764 that divides 28755 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 47, 51, 68, 94, 102, 141, 153, 188, 204, 282, 306, 423, 564, 612, 799, 846, 1598, 1692, 2397, 3196, 4794, 7191, 9588, 14382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28755 and 28764. The biggest common factor number is the GCF number.
So the greatest common factor 28755 and 28764 is 9.

Also check out the Least Common Multiple of 28755 and 28764