What is the Greatest Common Factor of 28171 and 28182?

Greatest common factor (GCF) of 28171 and 28182 is 11.

GCF(28171,28182) = 11

We will now calculate the prime factors of 28171 and 28182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28171 and 28182.

How to find the GCF of 28171 and 28182?

We will first find the prime factorization of 28171 and 28182. After we will calculate the factors of 28171 and 28182 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28182

Prime factors of 28182 are 2, 3, 7, 11, 61. Prime factorization of 28182 in exponential form is:

28182 = 2¹ × 3¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 28171

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

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

Step-4: Factors of 28182

List of positive integer factors of 28182 that divides 28171 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 61, 66, 77, 122, 154, 183, 231, 366, 427, 462, 671, 854, 1281, 1342, 2013, 2562, 4026, 4697, 9394, 14091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28171 and 28182. The biggest common factor number is the GCF number.
So the greatest common factor 28171 and 28182 is 11.

Also check out the Least Common Multiple of 28171 and 28182