What is the Greatest Common Factor of 28258 and 28277?

Greatest common factor (GCF) of 28258 and 28277 is 1.

GCF(28258,28277) = 1

We will now calculate the prime factors of 28258 and 28277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28258 and 28277.

How to find the GCF of 28258 and 28277?

We will first find the prime factorization of 28258 and 28277. After we will calculate the factors of 28258 and 28277 and find the biggest common factor number .

Step-1: Prime Factorization of 28258

Prime factors of 28258 are 2, 71, 199. Prime factorization of 28258 in exponential form is:

28258 = 2¹ × 71¹ × 199¹

Step-2: Prime Factorization of 28277

Prime factors of 28277 are 28277. Prime factorization of 28277 in exponential form is:

28277 = 28277¹

Step-3: Factors of 28258

List of positive integer factors of 28258 that divides 28258 without a remainder.

1, 2, 71, 142, 199, 398, 14129

Step-4: Factors of 28277

List of positive integer factors of 28277 that divides 28258 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28258 and 28277. The biggest common factor number is the GCF number.
So the greatest common factor 28258 and 28277 is 1.

Also check out the Least Common Multiple of 28258 and 28277