What is the Greatest Common Factor of 28965 and 28974?

Greatest common factor (GCF) of 28965 and 28974 is 3.

GCF(28965,28974) = 3

We will now calculate the prime factors of 28965 and 28974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28965 and 28974.

How to find the GCF of 28965 and 28974?

We will first find the prime factorization of 28965 and 28974. After we will calculate the factors of 28965 and 28974 and find the biggest common factor number .

Step-1: Prime Factorization of 28965

Prime factors of 28965 are 3, 5, 1931. Prime factorization of 28965 in exponential form is:

28965 = 3¹ × 5¹ × 1931¹

Step-2: Prime Factorization of 28974

Prime factors of 28974 are 2, 3, 11, 439. Prime factorization of 28974 in exponential form is:

28974 = 2¹ × 3¹ × 11¹ × 439¹

Step-3: Factors of 28965

List of positive integer factors of 28965 that divides 28965 without a remainder.

1, 3, 5, 15, 1931, 5793, 9655

Step-4: Factors of 28974

List of positive integer factors of 28974 that divides 28965 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 439, 878, 1317, 2634, 4829, 9658, 14487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28965 and 28974. The biggest common factor number is the GCF number.
So the greatest common factor 28965 and 28974 is 3.

Also check out the Least Common Multiple of 28965 and 28974