What is the Greatest Common Factor of 15542 and 15560?

Greatest common factor (GCF) of 15542 and 15560 is 2.

GCF(15542,15560) = 2

We will now calculate the prime factors of 15542 and 15560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15542 and 15560.

How to find the GCF of 15542 and 15560?

We will first find the prime factorization of 15542 and 15560. After we will calculate the factors of 15542 and 15560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15560

Prime factors of 15560 are 2, 5, 389. Prime factorization of 15560 in exponential form is:

15560 = 2³ × 5¹ × 389¹

Step-3: Factors of 15542

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

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

Step-4: Factors of 15560

List of positive integer factors of 15560 that divides 15542 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 389, 778, 1556, 1945, 3112, 3890, 7780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15542 and 15560. The biggest common factor number is the GCF number.
So the greatest common factor 15542 and 15560 is 2.

Also check out the Least Common Multiple of 15542 and 15560