What is the Greatest Common Factor of 73143 and 73161?

Greatest common factor (GCF) of 73143 and 73161 is 9.

GCF(73143,73161) = 9

We will now calculate the prime factors of 73143 and 73161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73143 and 73161.

How to find the GCF of 73143 and 73161?

We will first find the prime factorization of 73143 and 73161. After we will calculate the factors of 73143 and 73161 and find the biggest common factor number .

Step-1: Prime Factorization of 73143

Prime factors of 73143 are 3, 7, 43. Prime factorization of 73143 in exponential form is:

73143 = 3⁵ × 7¹ × 43¹

Step-2: Prime Factorization of 73161

Prime factors of 73161 are 3, 11, 739. Prime factorization of 73161 in exponential form is:

73161 = 3² × 11¹ × 739¹

Step-3: Factors of 73143

List of positive integer factors of 73143 that divides 73143 without a remainder.

1, 3, 7, 9, 21, 27, 43, 63, 81, 129, 189, 243, 301, 387, 567, 903, 1161, 1701, 2709, 3483, 8127, 10449, 24381

Step-4: Factors of 73161

List of positive integer factors of 73161 that divides 73143 without a remainder.

1, 3, 9, 11, 33, 99, 739, 2217, 6651, 8129, 24387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73143 and 73161. The biggest common factor number is the GCF number.
So the greatest common factor 73143 and 73161 is 9.

Also check out the Least Common Multiple of 73143 and 73161