What is the Greatest Common Factor of 51564 and 51582?

Greatest common factor (GCF) of 51564 and 51582 is 6.

GCF(51564,51582) = 6

We will now calculate the prime factors of 51564 and 51582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51564 and 51582.

How to find the GCF of 51564 and 51582?

We will first find the prime factorization of 51564 and 51582. After we will calculate the factors of 51564 and 51582 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 51582

Prime factors of 51582 are 2, 3, 8597. Prime factorization of 51582 in exponential form is:

51582 = 2¹ × 3¹ × 8597¹

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 51582

List of positive integer factors of 51582 that divides 51564 without a remainder.

1, 2, 3, 6, 8597, 17194, 25791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51564 and 51582. The biggest common factor number is the GCF number.
So the greatest common factor 51564 and 51582 is 6.

Also check out the Least Common Multiple of 51564 and 51582