What is the Greatest Common Factor of 51444 and 51456?

Greatest common factor (GCF) of 51444 and 51456 is 12.

GCF(51444,51456) = 12

We will now calculate the prime factors of 51444 and 51456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51444 and 51456.

How to find the GCF of 51444 and 51456?

We will first find the prime factorization of 51444 and 51456. After we will calculate the factors of 51444 and 51456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51456

Prime factors of 51456 are 2, 3, 67. Prime factorization of 51456 in exponential form is:

51456 = 2⁸ × 3¹ × 67¹

Step-3: Factors of 51444

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

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

Step-4: Factors of 51456

List of positive integer factors of 51456 that divides 51444 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 67, 96, 128, 134, 192, 201, 256, 268, 384, 402, 536, 768, 804, 1072, 1608, 2144, 3216, 4288, 6432, 8576, 12864, 17152, 25728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51444 and 51456. The biggest common factor number is the GCF number.
So the greatest common factor 51444 and 51456 is 12.

Also check out the Least Common Multiple of 51444 and 51456