What is the Greatest Common Factor of 51298 and 51311?

Greatest common factor (GCF) of 51298 and 51311 is 13.

GCF(51298,51311) = 13

We will now calculate the prime factors of 51298 and 51311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51298 and 51311.

How to find the GCF of 51298 and 51311?

We will first find the prime factorization of 51298 and 51311. After we will calculate the factors of 51298 and 51311 and find the biggest common factor number .

Step-1: Prime Factorization of 51298

Prime factors of 51298 are 2, 13, 1973. Prime factorization of 51298 in exponential form is:

51298 = 2¹ × 13¹ × 1973¹

Step-2: Prime Factorization of 51311

Prime factors of 51311 are 13, 3947. Prime factorization of 51311 in exponential form is:

51311 = 13¹ × 3947¹

Step-3: Factors of 51298

List of positive integer factors of 51298 that divides 51298 without a remainder.

1, 2, 13, 26, 1973, 3946, 25649

Step-4: Factors of 51311

List of positive integer factors of 51311 that divides 51298 without a remainder.

1, 13, 3947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51298 and 51311. The biggest common factor number is the GCF number.
So the greatest common factor 51298 and 51311 is 13.

Also check out the Least Common Multiple of 51298 and 51311