What is the Greatest Common Factor of 51129 and 51146?

Greatest common factor (GCF) of 51129 and 51146 is 1.

GCF(51129,51146) = 1

We will now calculate the prime factors of 51129 and 51146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51129 and 51146.

How to find the GCF of 51129 and 51146?

We will first find the prime factorization of 51129 and 51146. After we will calculate the factors of 51129 and 51146 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 51146

Prime factors of 51146 are 2, 107, 239. Prime factorization of 51146 in exponential form is:

51146 = 2¹ × 107¹ × 239¹

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 51146

List of positive integer factors of 51146 that divides 51129 without a remainder.

1, 2, 107, 214, 239, 478, 25573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51129 and 51146. The biggest common factor number is the GCF number.
So the greatest common factor 51129 and 51146 is 1.

Also check out the Least Common Multiple of 51129 and 51146