What is the Greatest Common Factor of 15966 and 15974?

Greatest common factor (GCF) of 15966 and 15974 is 2.

GCF(15966,15974) = 2

We will now calculate the prime factors of 15966 and 15974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15966 and 15974.

How to find the GCF of 15966 and 15974?

We will first find the prime factorization of 15966 and 15974. After we will calculate the factors of 15966 and 15974 and find the biggest common factor number .

Step-1: Prime Factorization of 15966

Prime factors of 15966 are 2, 3, 887. Prime factorization of 15966 in exponential form is:

15966 = 2¹ × 3² × 887¹

Step-2: Prime Factorization of 15974

Prime factors of 15974 are 2, 7, 163. Prime factorization of 15974 in exponential form is:

15974 = 2¹ × 7² × 163¹

Step-3: Factors of 15966

List of positive integer factors of 15966 that divides 15966 without a remainder.

1, 2, 3, 6, 9, 18, 887, 1774, 2661, 5322, 7983

Step-4: Factors of 15974

List of positive integer factors of 15974 that divides 15966 without a remainder.

1, 2, 7, 14, 49, 98, 163, 326, 1141, 2282, 7987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15966 and 15974. The biggest common factor number is the GCF number.
So the greatest common factor 15966 and 15974 is 2.

Also check out the Least Common Multiple of 15966 and 15974