What is the Greatest Common Factor of 51429 and 51449?

Greatest common factor (GCF) of 51429 and 51449 is 1.

GCF(51429,51449) = 1

We will now calculate the prime factors of 51429 and 51449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51429 and 51449.

How to find the GCF of 51429 and 51449?

We will first find the prime factorization of 51429 and 51449. After we will calculate the factors of 51429 and 51449 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 51449

Prime factors of 51449 are 51449. Prime factorization of 51449 in exponential form is:

51449 = 51449¹

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 51449

List of positive integer factors of 51449 that divides 51429 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51429 and 51449. The biggest common factor number is the GCF number.
So the greatest common factor 51429 and 51449 is 1.

Also check out the Least Common Multiple of 51429 and 51449