What is the Greatest Common Factor of 55161 and 55167?

Greatest common factor (GCF) of 55161 and 55167 is 3.

GCF(55161,55167) = 3

We will now calculate the prime factors of 55161 and 55167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55161 and 55167.

How to find the GCF of 55161 and 55167?

We will first find the prime factorization of 55161 and 55167. After we will calculate the factors of 55161 and 55167 and find the biggest common factor number .

Step-1: Prime Factorization of 55161

Prime factors of 55161 are 3, 227. Prime factorization of 55161 in exponential form is:

55161 = 3⁵ × 227¹

Step-2: Prime Factorization of 55167

Prime factors of 55167 are 3, 7, 37, 71. Prime factorization of 55167 in exponential form is:

55167 = 3¹ × 7¹ × 37¹ × 71¹

Step-3: Factors of 55161

List of positive integer factors of 55161 that divides 55161 without a remainder.

1, 3, 9, 27, 81, 227, 243, 681, 2043, 6129, 18387

Step-4: Factors of 55167

List of positive integer factors of 55167 that divides 55161 without a remainder.

1, 3, 7, 21, 37, 71, 111, 213, 259, 497, 777, 1491, 2627, 7881, 18389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55161 and 55167. The biggest common factor number is the GCF number.
So the greatest common factor 55161 and 55167 is 3.

Also check out the Least Common Multiple of 55161 and 55167