What is the Greatest Common Factor of 15524 and 15542?

Greatest common factor (GCF) of 15524 and 15542 is 2.

GCF(15524,15542) = 2

We will now calculate the prime factors of 15524 and 15542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15524 and 15542.

How to find the GCF of 15524 and 15542?

We will first find the prime factorization of 15524 and 15542. After we will calculate the factors of 15524 and 15542 and find the biggest common factor number .

Step-1: Prime Factorization of 15524

Prime factors of 15524 are 2, 3881. Prime factorization of 15524 in exponential form is:

15524 = 2² × 3881¹

Step-2: Prime Factorization of 15542

Prime factors of 15542 are 2, 19, 409. Prime factorization of 15542 in exponential form is:

15542 = 2¹ × 19¹ × 409¹

Step-3: Factors of 15524

List of positive integer factors of 15524 that divides 15524 without a remainder.

1, 2, 4, 3881, 7762

Step-4: Factors of 15542

List of positive integer factors of 15542 that divides 15524 without a remainder.

1, 2, 19, 38, 409, 818, 7771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15524 and 15542. The biggest common factor number is the GCF number.
So the greatest common factor 15524 and 15542 is 2.

Also check out the Least Common Multiple of 15524 and 15542