What is the Greatest Common Factor of 15556 and 15574?

Greatest common factor (GCF) of 15556 and 15574 is 2.

GCF(15556,15574) = 2

We will now calculate the prime factors of 15556 and 15574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15556 and 15574.

How to find the GCF of 15556 and 15574?

We will first find the prime factorization of 15556 and 15574. After we will calculate the factors of 15556 and 15574 and find the biggest common factor number .

Step-1: Prime Factorization of 15556

Prime factors of 15556 are 2, 3889. Prime factorization of 15556 in exponential form is:

15556 = 2² × 3889¹

Step-2: Prime Factorization of 15574

Prime factors of 15574 are 2, 13, 599. Prime factorization of 15574 in exponential form is:

15574 = 2¹ × 13¹ × 599¹

Step-3: Factors of 15556

List of positive integer factors of 15556 that divides 15556 without a remainder.

1, 2, 4, 3889, 7778

Step-4: Factors of 15574

List of positive integer factors of 15574 that divides 15556 without a remainder.

1, 2, 13, 26, 599, 1198, 7787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15556 and 15574. The biggest common factor number is the GCF number.
So the greatest common factor 15556 and 15574 is 2.

Also check out the Least Common Multiple of 15556 and 15574