What is the Greatest Common Factor of 51129 and 51142?

Greatest common factor (GCF) of 51129 and 51142 is 13.

GCF(51129,51142) = 13

We will now calculate the prime factors of 51129 and 51142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51129 and 51142.

How to find the GCF of 51129 and 51142?

We will first find the prime factorization of 51129 and 51142. After we will calculate the factors of 51129 and 51142 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 51142

Prime factors of 51142 are 2, 7, 13, 281. Prime factorization of 51142 in exponential form is:

51142 = 2¹ × 7¹ × 13¹ × 281¹

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 51142

List of positive integer factors of 51142 that divides 51129 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 281, 562, 1967, 3653, 3934, 7306, 25571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51129 and 51142. The biggest common factor number is the GCF number.
So the greatest common factor 51129 and 51142 is 13.

Also check out the Least Common Multiple of 51129 and 51142