What is the Greatest Common Factor of 28149 and 28161?

Greatest common factor (GCF) of 28149 and 28161 is 3.

GCF(28149,28161) = 3

We will now calculate the prime factors of 28149 and 28161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28149 and 28161.

How to find the GCF of 28149 and 28161?

We will first find the prime factorization of 28149 and 28161. After we will calculate the factors of 28149 and 28161 and find the biggest common factor number .

Step-1: Prime Factorization of 28149

Prime factors of 28149 are 3, 11, 853. Prime factorization of 28149 in exponential form is:

28149 = 3¹ × 11¹ × 853¹

Step-2: Prime Factorization of 28161

Prime factors of 28161 are 3, 7, 149. Prime factorization of 28161 in exponential form is:

28161 = 3³ × 7¹ × 149¹

Step-3: Factors of 28149

List of positive integer factors of 28149 that divides 28149 without a remainder.

1, 3, 11, 33, 853, 2559, 9383

Step-4: Factors of 28161

List of positive integer factors of 28161 that divides 28149 without a remainder.

1, 3, 7, 9, 21, 27, 63, 149, 189, 447, 1043, 1341, 3129, 4023, 9387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28149 and 28161. The biggest common factor number is the GCF number.
So the greatest common factor 28149 and 28161 is 3.

Also check out the Least Common Multiple of 28149 and 28161