What is the Greatest Common Factor of 28154 and 28171?

Greatest common factor (GCF) of 28154 and 28171 is 1.

GCF(28154,28171) = 1

We will now calculate the prime factors of 28154 and 28171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28154 and 28171.

How to find the GCF of 28154 and 28171?

We will first find the prime factorization of 28154 and 28171. After we will calculate the factors of 28154 and 28171 and find the biggest common factor number .

Step-1: Prime Factorization of 28154

Prime factors of 28154 are 2, 7, 2011. Prime factorization of 28154 in exponential form is:

28154 = 2¹ × 7¹ × 2011¹

Step-2: Prime Factorization of 28171

Prime factors of 28171 are 11, 13, 197. Prime factorization of 28171 in exponential form is:

28171 = 11¹ × 13¹ × 197¹

Step-3: Factors of 28154

List of positive integer factors of 28154 that divides 28154 without a remainder.

1, 2, 7, 14, 2011, 4022, 14077

Step-4: Factors of 28171

List of positive integer factors of 28171 that divides 28154 without a remainder.

1, 11, 13, 143, 197, 2167, 2561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28154 and 28171. The biggest common factor number is the GCF number.
So the greatest common factor 28154 and 28171 is 1.

Also check out the Least Common Multiple of 28154 and 28171