What is the Greatest Common Factor of 15389 and 15407?

Greatest common factor (GCF) of 15389 and 15407 is 1.

GCF(15389,15407) = 1

We will now calculate the prime factors of 15389 and 15407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15389 and 15407.

How to find the GCF of 15389 and 15407?

We will first find the prime factorization of 15389 and 15407. After we will calculate the factors of 15389 and 15407 and find the biggest common factor number .

Step-1: Prime Factorization of 15389

Prime factors of 15389 are 11, 1399. Prime factorization of 15389 in exponential form is:

15389 = 11¹ × 1399¹

Step-2: Prime Factorization of 15407

Prime factors of 15407 are 7, 31, 71. Prime factorization of 15407 in exponential form is:

15407 = 7¹ × 31¹ × 71¹

Step-3: Factors of 15389

List of positive integer factors of 15389 that divides 15389 without a remainder.

1, 11, 1399

Step-4: Factors of 15407

List of positive integer factors of 15407 that divides 15389 without a remainder.

1, 7, 31, 71, 217, 497, 2201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15389 and 15407. The biggest common factor number is the GCF number.
So the greatest common factor 15389 and 15407 is 1.

Also check out the Least Common Multiple of 15389 and 15407