What is the Greatest Common Factor of 51359 and 51366?

Greatest common factor (GCF) of 51359 and 51366 is 7.

GCF(51359,51366) = 7

We will now calculate the prime factors of 51359 and 51366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51359 and 51366.

How to find the GCF of 51359 and 51366?

We will first find the prime factorization of 51359 and 51366. After we will calculate the factors of 51359 and 51366 and find the biggest common factor number .

Step-1: Prime Factorization of 51359

Prime factors of 51359 are 7, 11, 23, 29. Prime factorization of 51359 in exponential form is:

51359 = 7¹ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 51366

Prime factors of 51366 are 2, 3, 7, 1223. Prime factorization of 51366 in exponential form is:

51366 = 2¹ × 3¹ × 7¹ × 1223¹

Step-3: Factors of 51359

List of positive integer factors of 51359 that divides 51359 without a remainder.

1, 7, 11, 23, 29, 77, 161, 203, 253, 319, 667, 1771, 2233, 4669, 7337

Step-4: Factors of 51366

List of positive integer factors of 51366 that divides 51359 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1223, 2446, 3669, 7338, 8561, 17122, 25683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51359 and 51366. The biggest common factor number is the GCF number.
So the greatest common factor 51359 and 51366 is 7.

Also check out the Least Common Multiple of 51359 and 51366