What is the Greatest Common Factor of 51330 and 51343?

Greatest common factor (GCF) of 51330 and 51343 is 1.

GCF(51330,51343) = 1

We will now calculate the prime factors of 51330 and 51343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51330 and 51343.

How to find the GCF of 51330 and 51343?

We will first find the prime factorization of 51330 and 51343. After we will calculate the factors of 51330 and 51343 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 51343

Prime factors of 51343 are 51343. Prime factorization of 51343 in exponential form is:

51343 = 51343¹

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 51343

List of positive integer factors of 51343 that divides 51330 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51330 and 51343. The biggest common factor number is the GCF number.
So the greatest common factor 51330 and 51343 is 1.

Also check out the Least Common Multiple of 51330 and 51343