What is the Greatest Common Factor of 51129 and 51143?

Greatest common factor (GCF) of 51129 and 51143 is 1.

GCF(51129,51143) = 1

We will now calculate the prime factors of 51129 and 51143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51129 and 51143.

How to find the GCF of 51129 and 51143?

We will first find the prime factorization of 51129 and 51143. After we will calculate the factors of 51129 and 51143 and find the biggest common factor number .

Step-1: Prime Factorization of 51129

Prime factors of 51129 are 3, 13, 19, 23. Prime factorization of 51129 in exponential form is:

51129 = 3² × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 51143

Prime factors of 51143 are 199, 257. Prime factorization of 51143 in exponential form is:

51143 = 199¹ × 257¹

Step-3: Factors of 51129

List of positive integer factors of 51129 that divides 51129 without a remainder.

1, 3, 9, 13, 19, 23, 39, 57, 69, 117, 171, 207, 247, 299, 437, 741, 897, 1311, 2223, 2691, 3933, 5681, 17043

Step-4: Factors of 51143

List of positive integer factors of 51143 that divides 51129 without a remainder.

1, 199, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51129 and 51143. The biggest common factor number is the GCF number.
So the greatest common factor 51129 and 51143 is 1.

Also check out the Least Common Multiple of 51129 and 51143