What is the Greatest Common Factor of 28845 and 28860?

Greatest common factor (GCF) of 28845 and 28860 is 15.

GCF(28845,28860) = 15

We will now calculate the prime factors of 28845 and 28860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28845 and 28860.

How to find the GCF of 28845 and 28860?

We will first find the prime factorization of 28845 and 28860. After we will calculate the factors of 28845 and 28860 and find the biggest common factor number .

Step-1: Prime Factorization of 28845

Prime factors of 28845 are 3, 5, 641. Prime factorization of 28845 in exponential form is:

28845 = 3² × 5¹ × 641¹

Step-2: Prime Factorization of 28860

Prime factors of 28860 are 2, 3, 5, 13, 37. Prime factorization of 28860 in exponential form is:

28860 = 2² × 3¹ × 5¹ × 13¹ × 37¹

Step-3: Factors of 28845

List of positive integer factors of 28845 that divides 28845 without a remainder.

1, 3, 5, 9, 15, 45, 641, 1923, 3205, 5769, 9615

Step-4: Factors of 28860

List of positive integer factors of 28860 that divides 28845 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 37, 39, 52, 60, 65, 74, 78, 111, 130, 148, 156, 185, 195, 222, 260, 370, 390, 444, 481, 555, 740, 780, 962, 1110, 1443, 1924, 2220, 2405, 2886, 4810, 5772, 7215, 9620, 14430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28845 and 28860. The biggest common factor number is the GCF number.
So the greatest common factor 28845 and 28860 is 15.

Also check out the Least Common Multiple of 28845 and 28860