What is the Greatest Common Factor of 51429 and 51444?

Greatest common factor (GCF) of 51429 and 51444 is 3.

GCF(51429,51444) = 3

We will now calculate the prime factors of 51429 and 51444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51429 and 51444.

How to find the GCF of 51429 and 51444?

We will first find the prime factorization of 51429 and 51444. After we will calculate the factors of 51429 and 51444 and find the biggest common factor number .

Step-1: Prime Factorization of 51429

Prime factors of 51429 are 3, 7, 31, 79. Prime factorization of 51429 in exponential form is:

51429 = 3¹ × 7¹ × 31¹ × 79¹

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 51429

List of positive integer factors of 51429 that divides 51429 without a remainder.

1, 3, 7, 21, 31, 79, 93, 217, 237, 553, 651, 1659, 2449, 7347, 17143

Step-4: Factors of 51444

List of positive integer factors of 51444 that divides 51429 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 51429 and 51444. The biggest common factor number is the GCF number.
So the greatest common factor 51429 and 51444 is 3.

Also check out the Least Common Multiple of 51429 and 51444