What is the Greatest Common Factor of 51338 and 51357?

Greatest common factor (GCF) of 51338 and 51357 is 19.

GCF(51338,51357) = 19

We will now calculate the prime factors of 51338 and 51357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51338 and 51357.

How to find the GCF of 51338 and 51357?

We will first find the prime factorization of 51338 and 51357. After we will calculate the factors of 51338 and 51357 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 51357

Prime factors of 51357 are 3, 17, 19, 53. Prime factorization of 51357 in exponential form is:

51357 = 3¹ × 17¹ × 19¹ × 53¹

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 51357

List of positive integer factors of 51357 that divides 51338 without a remainder.

1, 3, 17, 19, 51, 53, 57, 159, 323, 901, 969, 1007, 2703, 3021, 17119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51338 and 51357. The biggest common factor number is the GCF number.
So the greatest common factor 51338 and 51357 is 19.

Also check out the Least Common Multiple of 51338 and 51357