What is the Greatest Common Factor of 15884 and 15902?

Greatest common factor (GCF) of 15884 and 15902 is 2.

GCF(15884,15902) = 2

We will now calculate the prime factors of 15884 and 15902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15884 and 15902.

How to find the GCF of 15884 and 15902?

We will first find the prime factorization of 15884 and 15902. After we will calculate the factors of 15884 and 15902 and find the biggest common factor number .

Step-1: Prime Factorization of 15884

Prime factors of 15884 are 2, 11, 19. Prime factorization of 15884 in exponential form is:

15884 = 2² × 11¹ × 19²

Step-2: Prime Factorization of 15902

Prime factors of 15902 are 2, 7951. Prime factorization of 15902 in exponential form is:

15902 = 2¹ × 7951¹

Step-3: Factors of 15884

List of positive integer factors of 15884 that divides 15884 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 361, 418, 722, 836, 1444, 3971, 7942

Step-4: Factors of 15902

List of positive integer factors of 15902 that divides 15884 without a remainder.

1, 2, 7951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15884 and 15902. The biggest common factor number is the GCF number.
So the greatest common factor 15884 and 15902 is 2.

Also check out the Least Common Multiple of 15884 and 15902