What is the Greatest Common Factor of 28975 and 28983?

Greatest common factor (GCF) of 28975 and 28983 is 1.

GCF(28975,28983) = 1

We will now calculate the prime factors of 28975 and 28983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28975 and 28983.

How to find the GCF of 28975 and 28983?

We will first find the prime factorization of 28975 and 28983. After we will calculate the factors of 28975 and 28983 and find the biggest common factor number .

Step-1: Prime Factorization of 28975

Prime factors of 28975 are 5, 19, 61. Prime factorization of 28975 in exponential form is:

28975 = 5² × 19¹ × 61¹

Step-2: Prime Factorization of 28983

Prime factors of 28983 are 3, 9661. Prime factorization of 28983 in exponential form is:

28983 = 3¹ × 9661¹

Step-3: Factors of 28975

List of positive integer factors of 28975 that divides 28975 without a remainder.

1, 5, 19, 25, 61, 95, 305, 475, 1159, 1525, 5795

Step-4: Factors of 28983

List of positive integer factors of 28983 that divides 28975 without a remainder.

1, 3, 9661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28975 and 28983. The biggest common factor number is the GCF number.
So the greatest common factor 28975 and 28983 is 1.

Also check out the Least Common Multiple of 28975 and 28983