What is the Greatest Common Factor of 15934 and 15952?

Greatest common factor (GCF) of 15934 and 15952 is 2.

GCF(15934,15952) = 2

We will now calculate the prime factors of 15934 and 15952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15934 and 15952.

How to find the GCF of 15934 and 15952?

We will first find the prime factorization of 15934 and 15952. After we will calculate the factors of 15934 and 15952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15952

Prime factors of 15952 are 2, 997. Prime factorization of 15952 in exponential form is:

15952 = 2⁴ × 997¹

Step-3: Factors of 15934

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

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

Step-4: Factors of 15952

List of positive integer factors of 15952 that divides 15934 without a remainder.

1, 2, 4, 8, 16, 997, 1994, 3988, 7976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15934 and 15952. The biggest common factor number is the GCF number.
So the greatest common factor 15934 and 15952 is 2.

Also check out the Least Common Multiple of 15934 and 15952