What is the Greatest Common Factor of 51338 and 51352?

Greatest common factor (GCF) of 51338 and 51352 is 14.

GCF(51338,51352) = 14

We will now calculate the prime factors of 51338 and 51352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51338 and 51352.

How to find the GCF of 51338 and 51352?

We will first find the prime factorization of 51338 and 51352. After we will calculate the factors of 51338 and 51352 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 51352

Prime factors of 51352 are 2, 7, 131. Prime factorization of 51352 in exponential form is:

51352 = 2³ × 7² × 131¹

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 51352

List of positive integer factors of 51352 that divides 51338 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 131, 196, 262, 392, 524, 917, 1048, 1834, 3668, 6419, 7336, 12838, 25676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51338 and 51352. The biggest common factor number is the GCF number.
So the greatest common factor 51338 and 51352 is 14.

Also check out the Least Common Multiple of 51338 and 51352