What is the Greatest Common Factor of 15523 and 15538?

Greatest common factor (GCF) of 15523 and 15538 is 1.

GCF(15523,15538) = 1

We will now calculate the prime factors of 15523 and 15538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15523 and 15538.

How to find the GCF of 15523 and 15538?

We will first find the prime factorization of 15523 and 15538. After we will calculate the factors of 15523 and 15538 and find the biggest common factor number .

Step-1: Prime Factorization of 15523

Prime factors of 15523 are 19, 43. Prime factorization of 15523 in exponential form is:

15523 = 19² × 43¹

Step-2: Prime Factorization of 15538

Prime factors of 15538 are 2, 17, 457. Prime factorization of 15538 in exponential form is:

15538 = 2¹ × 17¹ × 457¹

Step-3: Factors of 15523

List of positive integer factors of 15523 that divides 15523 without a remainder.

1, 19, 43, 361, 817

Step-4: Factors of 15538

List of positive integer factors of 15538 that divides 15523 without a remainder.

1, 2, 17, 34, 457, 914, 7769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15523 and 15538. The biggest common factor number is the GCF number.
So the greatest common factor 15523 and 15538 is 1.

Also check out the Least Common Multiple of 15523 and 15538