What is the Greatest Common Factor of 73134 and 73143?

Greatest common factor (GCF) of 73134 and 73143 is 9.

GCF(73134,73143) = 9

We will now calculate the prime factors of 73134 and 73143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73134 and 73143.

How to find the GCF of 73134 and 73143?

We will first find the prime factorization of 73134 and 73143. After we will calculate the factors of 73134 and 73143 and find the biggest common factor number .

Step-1: Prime Factorization of 73134

Prime factors of 73134 are 2, 3, 17, 239. Prime factorization of 73134 in exponential form is:

73134 = 2¹ × 3² × 17¹ × 239¹

Step-2: 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-3: Factors of 73134

List of positive integer factors of 73134 that divides 73134 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 239, 306, 478, 717, 1434, 2151, 4063, 4302, 8126, 12189, 24378, 36567

Step-4: Factors of 73143

List of positive integer factors of 73143 that divides 73134 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73134 and 73143. The biggest common factor number is the GCF number.
So the greatest common factor 73134 and 73143 is 9.

Also check out the Least Common Multiple of 73134 and 73143