What is the Greatest Common Factor of 15914 and 15934?

Greatest common factor (GCF) of 15914 and 15934 is 2.

GCF(15914,15934) = 2

We will now calculate the prime factors of 15914 and 15934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15914 and 15934.

How to find the GCF of 15914 and 15934?

We will first find the prime factorization of 15914 and 15934. After we will calculate the factors of 15914 and 15934 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 15934

Prime factors of 15934 are 2, 31, 257. Prime factorization of 15934 in exponential form is:

15934 = 2¹ × 31¹ × 257¹

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 15934

List of positive integer factors of 15934 that divides 15914 without a remainder.

1, 2, 31, 62, 257, 514, 7967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15914 and 15934. The biggest common factor number is the GCF number.
So the greatest common factor 15914 and 15934 is 2.

Also check out the Least Common Multiple of 15914 and 15934