What is the Greatest Common Factor of 51330 and 51345?

Greatest common factor (GCF) of 51330 and 51345 is 15.

GCF(51330,51345) = 15

We will now calculate the prime factors of 51330 and 51345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51330 and 51345.

How to find the GCF of 51330 and 51345?

We will first find the prime factorization of 51330 and 51345. After we will calculate the factors of 51330 and 51345 and find the biggest common factor number .

Step-1: Prime Factorization of 51330

Prime factors of 51330 are 2, 3, 5, 29, 59. Prime factorization of 51330 in exponential form is:

51330 = 2¹ × 3¹ × 5¹ × 29¹ × 59¹

Step-2: 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-3: Factors of 51330

List of positive integer factors of 51330 that divides 51330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 59, 87, 118, 145, 174, 177, 290, 295, 354, 435, 590, 870, 885, 1711, 1770, 3422, 5133, 8555, 10266, 17110, 25665

Step-4: Factors of 51345

List of positive integer factors of 51345 that divides 51330 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51330 and 51345. The biggest common factor number is the GCF number.
So the greatest common factor 51330 and 51345 is 15.

Also check out the Least Common Multiple of 51330 and 51345