What is the Greatest Common Factor of 51344 and 51364?

Greatest common factor (GCF) of 51344 and 51364 is 4.

GCF(51344,51364) = 4

We will now calculate the prime factors of 51344 and 51364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51344 and 51364.

How to find the GCF of 51344 and 51364?

We will first find the prime factorization of 51344 and 51364. After we will calculate the factors of 51344 and 51364 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 51364

Prime factors of 51364 are 2, 12841. Prime factorization of 51364 in exponential form is:

51364 = 2² × 12841¹

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 51364

List of positive integer factors of 51364 that divides 51344 without a remainder.

1, 2, 4, 12841, 25682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51344 and 51364. The biggest common factor number is the GCF number.
So the greatest common factor 51344 and 51364 is 4.

Also check out the Least Common Multiple of 51344 and 51364