What is the Greatest Common Factor of 28975 and 28979?

Greatest common factor (GCF) of 28975 and 28979 is 1.

GCF(28975,28979) = 1

We will now calculate the prime factors of 28975 and 28979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28975 and 28979.

How to find the GCF of 28975 and 28979?

We will first find the prime factorization of 28975 and 28979. After we will calculate the factors of 28975 and 28979 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 28979

Prime factors of 28979 are 28979. Prime factorization of 28979 in exponential form is:

28979 = 28979¹

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 28979

List of positive integer factors of 28979 that divides 28975 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28975 and 28979. The biggest common factor number is the GCF number.
So the greatest common factor 28975 and 28979 is 1.

Also check out the Least Common Multiple of 28975 and 28979