What is the Greatest Common Factor of 51338 and 51351?

Greatest common factor (GCF) of 51338 and 51351 is 1.

GCF(51338,51351) = 1

We will now calculate the prime factors of 51338 and 51351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51338 and 51351.

How to find the GCF of 51338 and 51351?

We will first find the prime factorization of 51338 and 51351. After we will calculate the factors of 51338 and 51351 and find the biggest common factor number .

Step-1: Prime Factorization of 51338

Prime factors of 51338 are 2, 7, 19, 193. Prime factorization of 51338 in exponential form is:

51338 = 2¹ × 7¹ × 19¹ × 193¹

Step-2: Prime Factorization of 51351

Prime factors of 51351 are 3, 17117. Prime factorization of 51351 in exponential form is:

51351 = 3¹ × 17117¹

Step-3: Factors of 51338

List of positive integer factors of 51338 that divides 51338 without a remainder.

1, 2, 7, 14, 19, 38, 133, 193, 266, 386, 1351, 2702, 3667, 7334, 25669

Step-4: Factors of 51351

List of positive integer factors of 51351 that divides 51338 without a remainder.

1, 3, 17117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51338 and 51351. The biggest common factor number is the GCF number.
So the greatest common factor 51338 and 51351 is 1.

Also check out the Least Common Multiple of 51338 and 51351