What is the Greatest Common Factor of 15914 and 15930?

Greatest common factor (GCF) of 15914 and 15930 is 2.

GCF(15914,15930) = 2

We will now calculate the prime factors of 15914 and 15930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15914 and 15930.

How to find the GCF of 15914 and 15930?

We will first find the prime factorization of 15914 and 15930. After we will calculate the factors of 15914 and 15930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15930

Prime factors of 15930 are 2, 3, 5, 59. Prime factorization of 15930 in exponential form is:

15930 = 2¹ × 3³ × 5¹ × 59¹

Step-3: Factors of 15914

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

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

Step-4: Factors of 15930

List of positive integer factors of 15930 that divides 15914 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 90, 118, 135, 177, 270, 295, 354, 531, 590, 885, 1062, 1593, 1770, 2655, 3186, 5310, 7965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15914 and 15930. The biggest common factor number is the GCF number.
So the greatest common factor 15914 and 15930 is 2.

Also check out the Least Common Multiple of 15914 and 15930