What is the Greatest Common Factor of 15886 and 15900?

Greatest common factor (GCF) of 15886 and 15900 is 2.

GCF(15886,15900) = 2

We will now calculate the prime factors of 15886 and 15900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15886 and 15900.

How to find the GCF of 15886 and 15900?

We will first find the prime factorization of 15886 and 15900. After we will calculate the factors of 15886 and 15900 and find the biggest common factor number .

Step-1: Prime Factorization of 15886

Prime factors of 15886 are 2, 13, 47. Prime factorization of 15886 in exponential form is:

15886 = 2¹ × 13² × 47¹

Step-2: Prime Factorization of 15900

Prime factors of 15900 are 2, 3, 5, 53. Prime factorization of 15900 in exponential form is:

15900 = 2² × 3¹ × 5² × 53¹

Step-3: Factors of 15886

List of positive integer factors of 15886 that divides 15886 without a remainder.

1, 2, 13, 26, 47, 94, 169, 338, 611, 1222, 7943

Step-4: Factors of 15900

List of positive integer factors of 15900 that divides 15886 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15886 and 15900. The biggest common factor number is the GCF number.
So the greatest common factor 15886 and 15900 is 2.

Also check out the Least Common Multiple of 15886 and 15900