What is the Greatest Common Factor of 15952 and 15958?

Greatest common factor (GCF) of 15952 and 15958 is 2.

GCF(15952,15958) = 2

We will now calculate the prime factors of 15952 and 15958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15952 and 15958.

How to find the GCF of 15952 and 15958?

We will first find the prime factorization of 15952 and 15958. After we will calculate the factors of 15952 and 15958 and find the biggest common factor number .

Step-1: Prime Factorization of 15952

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

15952 = 2⁴ × 997¹

Step-2: Prime Factorization of 15958

Prime factors of 15958 are 2, 79, 101. Prime factorization of 15958 in exponential form is:

15958 = 2¹ × 79¹ × 101¹

Step-3: Factors of 15952

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

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

Step-4: Factors of 15958

List of positive integer factors of 15958 that divides 15952 without a remainder.

1, 2, 79, 101, 158, 202, 7979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15952 and 15958. The biggest common factor number is the GCF number.
So the greatest common factor 15952 and 15958 is 2.

Also check out the Least Common Multiple of 15952 and 15958