What is the Greatest Common Factor of 51345 and 51359?

Greatest common factor (GCF) of 51345 and 51359 is 7.

GCF(51345,51359) = 7

We will now calculate the prime factors of 51345 and 51359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51345 and 51359.

How to find the GCF of 51345 and 51359?

We will first find the prime factorization of 51345 and 51359. After we will calculate the factors of 51345 and 51359 and find the biggest common factor number .

Step-1: Prime Factorization of 51345

Prime factors of 51345 are 3, 5, 7, 163. Prime factorization of 51345 in exponential form is:

51345 = 3² × 5¹ × 7¹ × 163¹

Step-2: 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-3: Factors of 51345

List of positive integer factors of 51345 that divides 51345 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 163, 315, 489, 815, 1141, 1467, 2445, 3423, 5705, 7335, 10269, 17115

Step-4: Factors of 51359

List of positive integer factors of 51359 that divides 51345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51345 and 51359. The biggest common factor number is the GCF number.
So the greatest common factor 51345 and 51359 is 7.

Also check out the Least Common Multiple of 51345 and 51359