What is the Greatest Common Factor of 51337 and 51350?

Greatest common factor (GCF) of 51337 and 51350 is 13.

GCF(51337,51350) = 13

We will now calculate the prime factors of 51337 and 51350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51337 and 51350.

How to find the GCF of 51337 and 51350?

We will first find the prime factorization of 51337 and 51350. After we will calculate the factors of 51337 and 51350 and find the biggest common factor number .

Step-1: Prime Factorization of 51337

Prime factors of 51337 are 11, 13, 359. Prime factorization of 51337 in exponential form is:

51337 = 11¹ × 13¹ × 359¹

Step-2: 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-3: Factors of 51337

List of positive integer factors of 51337 that divides 51337 without a remainder.

1, 11, 13, 143, 359, 3949, 4667

Step-4: Factors of 51350

List of positive integer factors of 51350 that divides 51337 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51337 and 51350. The biggest common factor number is the GCF number.
So the greatest common factor 51337 and 51350 is 13.

Also check out the Least Common Multiple of 51337 and 51350