What is the Greatest Common Factor of 51344 and 51348?

Greatest common factor (GCF) of 51344 and 51348 is 4.

GCF(51344,51348) = 4

We will now calculate the prime factors of 51344 and 51348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51344 and 51348.

How to find the GCF of 51344 and 51348?

We will first find the prime factorization of 51344 and 51348. After we will calculate the factors of 51344 and 51348 and find the biggest common factor number .

Step-1: Prime Factorization of 51344

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

51344 = 2⁴ × 3209¹

Step-2: Prime Factorization of 51348

Prime factors of 51348 are 2, 3, 11, 389. Prime factorization of 51348 in exponential form is:

51348 = 2² × 3¹ × 11¹ × 389¹

Step-3: Factors of 51344

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

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

Step-4: Factors of 51348

List of positive integer factors of 51348 that divides 51344 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 389, 778, 1167, 1556, 2334, 4279, 4668, 8558, 12837, 17116, 25674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51344 and 51348. The biggest common factor number is the GCF number.
So the greatest common factor 51344 and 51348 is 4.

Also check out the Least Common Multiple of 51344 and 51348