What is the Greatest Common Factor of 51429 and 51443?

Greatest common factor (GCF) of 51429 and 51443 is 7.

GCF(51429,51443) = 7

We will now calculate the prime factors of 51429 and 51443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51429 and 51443.

How to find the GCF of 51429 and 51443?

We will first find the prime factorization of 51429 and 51443. After we will calculate the factors of 51429 and 51443 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 51443

Prime factors of 51443 are 7, 7349. Prime factorization of 51443 in exponential form is:

51443 = 7¹ × 7349¹

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 51443

List of positive integer factors of 51443 that divides 51429 without a remainder.

1, 7, 7349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51429 and 51443. The biggest common factor number is the GCF number.
So the greatest common factor 51429 and 51443 is 7.

Also check out the Least Common Multiple of 51429 and 51443