What is the Greatest Common Factor of 28957 and 28975?

Greatest common factor (GCF) of 28957 and 28975 is 1.

GCF(28957,28975) = 1

We will now calculate the prime factors of 28957 and 28975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28957 and 28975.

How to find the GCF of 28957 and 28975?

We will first find the prime factorization of 28957 and 28975. After we will calculate the factors of 28957 and 28975 and find the biggest common factor number .

Step-1: Prime Factorization of 28957

Prime factors of 28957 are 23, 1259. Prime factorization of 28957 in exponential form is:

28957 = 23¹ × 1259¹

Step-2: 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-3: Factors of 28957

List of positive integer factors of 28957 that divides 28957 without a remainder.

1, 23, 1259

Step-4: Factors of 28975

List of positive integer factors of 28975 that divides 28957 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28957 and 28975. The biggest common factor number is the GCF number.
So the greatest common factor 28957 and 28975 is 1.

Also check out the Least Common Multiple of 28957 and 28975