What is the Greatest Common Factor of 51804 and 51822?

Greatest common factor (GCF) of 51804 and 51822 is 18.

GCF(51804,51822) = 18

We will now calculate the prime factors of 51804 and 51822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51804 and 51822.

How to find the GCF of 51804 and 51822?

We will first find the prime factorization of 51804 and 51822. After we will calculate the factors of 51804 and 51822 and find the biggest common factor number .

Step-1: Prime Factorization of 51804

Prime factors of 51804 are 2, 3, 1439. Prime factorization of 51804 in exponential form is:

51804 = 2² × 3² × 1439¹

Step-2: Prime Factorization of 51822

Prime factors of 51822 are 2, 3, 2879. Prime factorization of 51822 in exponential form is:

51822 = 2¹ × 3² × 2879¹

Step-3: Factors of 51804

List of positive integer factors of 51804 that divides 51804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1439, 2878, 4317, 5756, 8634, 12951, 17268, 25902

Step-4: Factors of 51822

List of positive integer factors of 51822 that divides 51804 without a remainder.

1, 2, 3, 6, 9, 18, 2879, 5758, 8637, 17274, 25911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51804 and 51822. The biggest common factor number is the GCF number.
So the greatest common factor 51804 and 51822 is 18.

Also check out the Least Common Multiple of 51804 and 51822