What is the Greatest Common Factor of 51330 and 51344?

Greatest common factor (GCF) of 51330 and 51344 is 2.

GCF(51330,51344) = 2

We will now calculate the prime factors of 51330 and 51344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51330 and 51344.

How to find the GCF of 51330 and 51344?

We will first find the prime factorization of 51330 and 51344. After we will calculate the factors of 51330 and 51344 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 51344

Prime factors of 51344 are 2, 3209. Prime factorization of 51344 in exponential form is:

51344 = 2⁴ × 3209¹

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 51344

List of positive integer factors of 51344 that divides 51330 without a remainder.

1, 2, 4, 8, 16, 3209, 6418, 12836, 25672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51330 and 51344. The biggest common factor number is the GCF number.
So the greatest common factor 51330 and 51344 is 2.

Also check out the Least Common Multiple of 51330 and 51344