What is the Greatest Common Factor of 51323 and 51340?

Greatest common factor (GCF) of 51323 and 51340 is 17.

GCF(51323,51340) = 17

We will now calculate the prime factors of 51323 and 51340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51323 and 51340.

How to find the GCF of 51323 and 51340?

We will first find the prime factorization of 51323 and 51340. After we will calculate the factors of 51323 and 51340 and find the biggest common factor number .

Step-1: Prime Factorization of 51323

Prime factors of 51323 are 17, 3019. Prime factorization of 51323 in exponential form is:

51323 = 17¹ × 3019¹

Step-2: Prime Factorization of 51340

Prime factors of 51340 are 2, 5, 17, 151. Prime factorization of 51340 in exponential form is:

51340 = 2² × 5¹ × 17¹ × 151¹

Step-3: Factors of 51323

List of positive integer factors of 51323 that divides 51323 without a remainder.

1, 17, 3019

Step-4: Factors of 51340

List of positive integer factors of 51340 that divides 51323 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 151, 170, 302, 340, 604, 755, 1510, 2567, 3020, 5134, 10268, 12835, 25670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51323 and 51340. The biggest common factor number is the GCF number.
So the greatest common factor 51323 and 51340 is 17.

Also check out the Least Common Multiple of 51323 and 51340