What is the Greatest Common Factor of 15914 and 15920?

Greatest common factor (GCF) of 15914 and 15920 is 2.

GCF(15914,15920) = 2

We will now calculate the prime factors of 15914 and 15920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15914 and 15920.

How to find the GCF of 15914 and 15920?

We will first find the prime factorization of 15914 and 15920. After we will calculate the factors of 15914 and 15920 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 15920

Prime factors of 15920 are 2, 5, 199. Prime factorization of 15920 in exponential form is:

15920 = 2⁴ × 5¹ × 199¹

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 15920

List of positive integer factors of 15920 that divides 15914 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 199, 398, 796, 995, 1592, 1990, 3184, 3980, 7960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15914 and 15920. The biggest common factor number is the GCF number.
So the greatest common factor 15914 and 15920 is 2.

Also check out the Least Common Multiple of 15914 and 15920