What is the Greatest Common Factor of 28905 and 28920?

Greatest common factor (GCF) of 28905 and 28920 is 15.

GCF(28905,28920) = 15

We will now calculate the prime factors of 28905 and 28920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28905 and 28920.

How to find the GCF of 28905 and 28920?

We will first find the prime factorization of 28905 and 28920. After we will calculate the factors of 28905 and 28920 and find the biggest common factor number .

Step-1: Prime Factorization of 28905

Prime factors of 28905 are 3, 5, 41, 47. Prime factorization of 28905 in exponential form is:

28905 = 3¹ × 5¹ × 41¹ × 47¹

Step-2: Prime Factorization of 28920

Prime factors of 28920 are 2, 3, 5, 241. Prime factorization of 28920 in exponential form is:

28920 = 2³ × 3¹ × 5¹ × 241¹

Step-3: Factors of 28905

List of positive integer factors of 28905 that divides 28905 without a remainder.

1, 3, 5, 15, 41, 47, 123, 141, 205, 235, 615, 705, 1927, 5781, 9635

Step-4: Factors of 28920

List of positive integer factors of 28920 that divides 28905 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 241, 482, 723, 964, 1205, 1446, 1928, 2410, 2892, 3615, 4820, 5784, 7230, 9640, 14460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28905 and 28920. The biggest common factor number is the GCF number.
So the greatest common factor 28905 and 28920 is 15.

Also check out the Least Common Multiple of 28905 and 28920