What is the Greatest Common Factor of 51432 and 51444?

Greatest common factor (GCF) of 51432 and 51444 is 12.

GCF(51432,51444) = 12

We will now calculate the prime factors of 51432 and 51444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51432 and 51444.

How to find the GCF of 51432 and 51444?

We will first find the prime factorization of 51432 and 51444. After we will calculate the factors of 51432 and 51444 and find the biggest common factor number .

Step-1: Prime Factorization of 51432

Prime factors of 51432 are 2, 3, 2143. Prime factorization of 51432 in exponential form is:

51432 = 2³ × 3¹ × 2143¹

Step-2: Prime Factorization of 51444

Prime factors of 51444 are 2, 3, 1429. Prime factorization of 51444 in exponential form is:

51444 = 2² × 3² × 1429¹

Step-3: Factors of 51432

List of positive integer factors of 51432 that divides 51432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2143, 4286, 6429, 8572, 12858, 17144, 25716

Step-4: Factors of 51444

List of positive integer factors of 51444 that divides 51432 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1429, 2858, 4287, 5716, 8574, 12861, 17148, 25722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51432 and 51444. The biggest common factor number is the GCF number.
So the greatest common factor 51432 and 51444 is 12.

Also check out the Least Common Multiple of 51432 and 51444