What is the Greatest Common Factor of 15920 and 15936?

Greatest common factor (GCF) of 15920 and 15936 is 16.

GCF(15920,15936) = 16

We will now calculate the prime factors of 15920 and 15936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15920 and 15936.

How to find the GCF of 15920 and 15936?

We will first find the prime factorization of 15920 and 15936. After we will calculate the factors of 15920 and 15936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15936

Prime factors of 15936 are 2, 3, 83. Prime factorization of 15936 in exponential form is:

15936 = 2⁶ × 3¹ × 83¹

Step-3: Factors of 15920

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

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

Step-4: Factors of 15936

List of positive integer factors of 15936 that divides 15920 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 83, 96, 166, 192, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 5312, 7968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15920 and 15936. The biggest common factor number is the GCF number.
So the greatest common factor 15920 and 15936 is 16.

Also check out the Least Common Multiple of 15920 and 15936