What is the Greatest Common Factor of 51409 and 51428?

Greatest common factor (GCF) of 51409 and 51428 is 1.

GCF(51409,51428) = 1

We will now calculate the prime factors of 51409 and 51428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51409 and 51428.

How to find the GCF of 51409 and 51428?

We will first find the prime factorization of 51409 and 51428. After we will calculate the factors of 51409 and 51428 and find the biggest common factor number .

Step-1: Prime Factorization of 51409

Prime factors of 51409 are 101, 509. Prime factorization of 51409 in exponential form is:

51409 = 101¹ × 509¹

Step-2: Prime Factorization of 51428

Prime factors of 51428 are 2, 13, 23, 43. Prime factorization of 51428 in exponential form is:

51428 = 2² × 13¹ × 23¹ × 43¹

Step-3: Factors of 51409

List of positive integer factors of 51409 that divides 51409 without a remainder.

1, 101, 509

Step-4: Factors of 51428

List of positive integer factors of 51428 that divides 51409 without a remainder.

1, 2, 4, 13, 23, 26, 43, 46, 52, 86, 92, 172, 299, 559, 598, 989, 1118, 1196, 1978, 2236, 3956, 12857, 25714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51409 and 51428. The biggest common factor number is the GCF number.
So the greatest common factor 51409 and 51428 is 1.

Also check out the Least Common Multiple of 51409 and 51428