What is the Greatest Common Factor of 51389 and 51404?

Greatest common factor (GCF) of 51389 and 51404 is 1.

GCF(51389,51404) = 1

We will now calculate the prime factors of 51389 and 51404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51389 and 51404.

How to find the GCF of 51389 and 51404?

We will first find the prime factorization of 51389 and 51404. After we will calculate the factors of 51389 and 51404 and find the biggest common factor number .

Step-1: Prime Factorization of 51389

Prime factors of 51389 are 13, 59, 67. Prime factorization of 51389 in exponential form is:

51389 = 13¹ × 59¹ × 67¹

Step-2: Prime Factorization of 51404

Prime factors of 51404 are 2, 71, 181. Prime factorization of 51404 in exponential form is:

51404 = 2² × 71¹ × 181¹

Step-3: Factors of 51389

List of positive integer factors of 51389 that divides 51389 without a remainder.

1, 13, 59, 67, 767, 871, 3953

Step-4: Factors of 51404

List of positive integer factors of 51404 that divides 51389 without a remainder.

1, 2, 4, 71, 142, 181, 284, 362, 724, 12851, 25702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51389 and 51404. The biggest common factor number is the GCF number.
So the greatest common factor 51389 and 51404 is 1.

Also check out the Least Common Multiple of 51389 and 51404