What is the Greatest Common Factor of 28965 and 28970?

Greatest common factor (GCF) of 28965 and 28970 is 5.

GCF(28965,28970) = 5

We will now calculate the prime factors of 28965 and 28970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28965 and 28970.

How to find the GCF of 28965 and 28970?

We will first find the prime factorization of 28965 and 28970. After we will calculate the factors of 28965 and 28970 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 28970

Prime factors of 28970 are 2, 5, 2897. Prime factorization of 28970 in exponential form is:

28970 = 2¹ × 5¹ × 2897¹

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 28970

List of positive integer factors of 28970 that divides 28965 without a remainder.

1, 2, 5, 10, 2897, 5794, 14485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28965 and 28970. The biggest common factor number is the GCF number.
So the greatest common factor 28965 and 28970 is 5.

Also check out the Least Common Multiple of 28965 and 28970