What is the Greatest Common Factor of 15964 and 15983?

Greatest common factor (GCF) of 15964 and 15983 is 1.

GCF(15964,15983) = 1

We will now calculate the prime factors of 15964 and 15983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15964 and 15983.

How to find the GCF of 15964 and 15983?

We will first find the prime factorization of 15964 and 15983. After we will calculate the factors of 15964 and 15983 and find the biggest common factor number .

Step-1: Prime Factorization of 15964

Prime factors of 15964 are 2, 13, 307. Prime factorization of 15964 in exponential form is:

15964 = 2² × 13¹ × 307¹

Step-2: Prime Factorization of 15983

Prime factors of 15983 are 11, 1453. Prime factorization of 15983 in exponential form is:

15983 = 11¹ × 1453¹

Step-3: Factors of 15964

List of positive integer factors of 15964 that divides 15964 without a remainder.

1, 2, 4, 13, 26, 52, 307, 614, 1228, 3991, 7982

Step-4: Factors of 15983

List of positive integer factors of 15983 that divides 15964 without a remainder.

1, 11, 1453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15964 and 15983. The biggest common factor number is the GCF number.
So the greatest common factor 15964 and 15983 is 1.

Also check out the Least Common Multiple of 15964 and 15983