What is the Greatest Common Factor of 73143 and 73157?

Greatest common factor (GCF) of 73143 and 73157 is 7.

GCF(73143,73157) = 7

We will now calculate the prime factors of 73143 and 73157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73143 and 73157.

How to find the GCF of 73143 and 73157?

We will first find the prime factorization of 73143 and 73157. After we will calculate the factors of 73143 and 73157 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 73157

Prime factors of 73157 are 7, 1493. Prime factorization of 73157 in exponential form is:

73157 = 7² × 1493¹

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 73157

List of positive integer factors of 73157 that divides 73143 without a remainder.

1, 7, 49, 1493, 10451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73143 and 73157. The biggest common factor number is the GCF number.
So the greatest common factor 73143 and 73157 is 7.

Also check out the Least Common Multiple of 73143 and 73157