What is the Greatest Common Factor of 15544 and 15562?

Greatest common factor (GCF) of 15544 and 15562 is 2.

GCF(15544,15562) = 2

We will now calculate the prime factors of 15544 and 15562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15544 and 15562.

How to find the GCF of 15544 and 15562?

We will first find the prime factorization of 15544 and 15562. After we will calculate the factors of 15544 and 15562 and find the biggest common factor number .

Step-1: Prime Factorization of 15544

Prime factors of 15544 are 2, 29, 67. Prime factorization of 15544 in exponential form is:

15544 = 2³ × 29¹ × 67¹

Step-2: Prime Factorization of 15562

Prime factors of 15562 are 2, 31, 251. Prime factorization of 15562 in exponential form is:

15562 = 2¹ × 31¹ × 251¹

Step-3: Factors of 15544

List of positive integer factors of 15544 that divides 15544 without a remainder.

1, 2, 4, 8, 29, 58, 67, 116, 134, 232, 268, 536, 1943, 3886, 7772

Step-4: Factors of 15562

List of positive integer factors of 15562 that divides 15544 without a remainder.

1, 2, 31, 62, 251, 502, 7781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15544 and 15562. The biggest common factor number is the GCF number.
So the greatest common factor 15544 and 15562 is 2.

Also check out the Least Common Multiple of 15544 and 15562