What is the Greatest Common Factor of 51350 and 51363?

Greatest common factor (GCF) of 51350 and 51363 is 13.

GCF(51350,51363) = 13

We will now calculate the prime factors of 51350 and 51363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51350 and 51363.

How to find the GCF of 51350 and 51363?

We will first find the prime factorization of 51350 and 51363. After we will calculate the factors of 51350 and 51363 and find the biggest common factor number .

Step-1: Prime Factorization of 51350

Prime factors of 51350 are 2, 5, 13, 79. Prime factorization of 51350 in exponential form is:

51350 = 2¹ × 5² × 13¹ × 79¹

Step-2: Prime Factorization of 51363

Prime factors of 51363 are 3, 13, 439. Prime factorization of 51363 in exponential form is:

51363 = 3² × 13¹ × 439¹

Step-3: Factors of 51350

List of positive integer factors of 51350 that divides 51350 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 79, 130, 158, 325, 395, 650, 790, 1027, 1975, 2054, 3950, 5135, 10270, 25675

Step-4: Factors of 51363

List of positive integer factors of 51363 that divides 51350 without a remainder.

1, 3, 9, 13, 39, 117, 439, 1317, 3951, 5707, 17121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51350 and 51363. The biggest common factor number is the GCF number.
So the greatest common factor 51350 and 51363 is 13.

Also check out the Least Common Multiple of 51350 and 51363