What is the Greatest Common Factor of 51564 and 51578?

Greatest common factor (GCF) of 51564 and 51578 is 2.

GCF(51564,51578) = 2

We will now calculate the prime factors of 51564 and 51578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51564 and 51578.

How to find the GCF of 51564 and 51578?

We will first find the prime factorization of 51564 and 51578. After we will calculate the factors of 51564 and 51578 and find the biggest common factor number .

Step-1: Prime Factorization of 51564

Prime factors of 51564 are 2, 3, 4297. Prime factorization of 51564 in exponential form is:

51564 = 2² × 3¹ × 4297¹

Step-2: Prime Factorization of 51578

Prime factors of 51578 are 2, 17, 37, 41. Prime factorization of 51578 in exponential form is:

51578 = 2¹ × 17¹ × 37¹ × 41¹

Step-3: Factors of 51564

List of positive integer factors of 51564 that divides 51564 without a remainder.

1, 2, 3, 4, 6, 12, 4297, 8594, 12891, 17188, 25782

Step-4: Factors of 51578

List of positive integer factors of 51578 that divides 51564 without a remainder.

1, 2, 17, 34, 37, 41, 74, 82, 629, 697, 1258, 1394, 1517, 3034, 25789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51564 and 51578. The biggest common factor number is the GCF number.
So the greatest common factor 51564 and 51578 is 2.

Also check out the Least Common Multiple of 51564 and 51578