What is the Greatest Common Factor of 28545 and 28556?

Greatest common factor (GCF) of 28545 and 28556 is 11.

GCF(28545,28556) = 11

We will now calculate the prime factors of 28545 and 28556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28545 and 28556.

How to find the GCF of 28545 and 28556?

We will first find the prime factorization of 28545 and 28556. After we will calculate the factors of 28545 and 28556 and find the biggest common factor number .

Step-1: Prime Factorization of 28545

Prime factors of 28545 are 3, 5, 11, 173. Prime factorization of 28545 in exponential form is:

28545 = 3¹ × 5¹ × 11¹ × 173¹

Step-2: Prime Factorization of 28556

Prime factors of 28556 are 2, 11, 59. Prime factorization of 28556 in exponential form is:

28556 = 2² × 11² × 59¹

Step-3: Factors of 28545

List of positive integer factors of 28545 that divides 28545 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 173, 519, 865, 1903, 2595, 5709, 9515

Step-4: Factors of 28556

List of positive integer factors of 28556 that divides 28545 without a remainder.

1, 2, 4, 11, 22, 44, 59, 118, 121, 236, 242, 484, 649, 1298, 2596, 7139, 14278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28545 and 28556. The biggest common factor number is the GCF number.
So the greatest common factor 28545 and 28556 is 11.

Also check out the Least Common Multiple of 28545 and 28556