What is the Greatest Common Factor of 15900 and 15914?

Greatest common factor (GCF) of 15900 and 15914 is 2.

GCF(15900,15914) = 2

We will now calculate the prime factors of 15900 and 15914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15900 and 15914.

How to find the GCF of 15900 and 15914?

We will first find the prime factorization of 15900 and 15914. After we will calculate the factors of 15900 and 15914 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15914

Prime factors of 15914 are 2, 73, 109. Prime factorization of 15914 in exponential form is:

15914 = 2¹ × 73¹ × 109¹

Step-3: Factors of 15900

List of positive integer factors of 15900 that divides 15900 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

Step-4: Factors of 15914

List of positive integer factors of 15914 that divides 15900 without a remainder.

1, 2, 73, 109, 146, 218, 7957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15900 and 15914. The biggest common factor number is the GCF number.
So the greatest common factor 15900 and 15914 is 2.

Also check out the Least Common Multiple of 15900 and 15914