What is the Greatest Common Factor of 28247 and 28258?

Greatest common factor (GCF) of 28247 and 28258 is 1.

GCF(28247,28258) = 1

We will now calculate the prime factors of 28247 and 28258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28247 and 28258.

How to find the GCF of 28247 and 28258?

We will first find the prime factorization of 28247 and 28258. After we will calculate the factors of 28247 and 28258 and find the biggest common factor number .

Step-1: Prime Factorization of 28247

Prime factors of 28247 are 47, 601. Prime factorization of 28247 in exponential form is:

28247 = 47¹ × 601¹

Step-2: 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-3: Factors of 28247

List of positive integer factors of 28247 that divides 28247 without a remainder.

1, 47, 601

Step-4: Factors of 28258

List of positive integer factors of 28258 that divides 28247 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28247 and 28258. The biggest common factor number is the GCF number.
So the greatest common factor 28247 and 28258 is 1.

Also check out the Least Common Multiple of 28247 and 28258