What is the Greatest Common Factor of 28189 and 28207?

Greatest common factor (GCF) of 28189 and 28207 is 1.

GCF(28189,28207) = 1

We will now calculate the prime factors of 28189 and 28207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28189 and 28207.

How to find the GCF of 28189 and 28207?

We will first find the prime factorization of 28189 and 28207. After we will calculate the factors of 28189 and 28207 and find the biggest common factor number .

Step-1: Prime Factorization of 28189

Prime factors of 28189 are 7, 4027. Prime factorization of 28189 in exponential form is:

28189 = 7¹ × 4027¹

Step-2: Prime Factorization of 28207

Prime factors of 28207 are 67, 421. Prime factorization of 28207 in exponential form is:

28207 = 67¹ × 421¹

Step-3: Factors of 28189

List of positive integer factors of 28189 that divides 28189 without a remainder.

1, 7, 4027

Step-4: Factors of 28207

List of positive integer factors of 28207 that divides 28189 without a remainder.

1, 67, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28189 and 28207. The biggest common factor number is the GCF number.
So the greatest common factor 28189 and 28207 is 1.

Also check out the Least Common Multiple of 28189 and 28207