What is the Greatest Common Factor of 15926 and 15946?

Greatest common factor (GCF) of 15926 and 15946 is 2.

GCF(15926,15946) = 2

We will now calculate the prime factors of 15926 and 15946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15926 and 15946.

How to find the GCF of 15926 and 15946?

We will first find the prime factorization of 15926 and 15946. After we will calculate the factors of 15926 and 15946 and find the biggest common factor number .

Step-1: Prime Factorization of 15926

Prime factors of 15926 are 2, 7963. Prime factorization of 15926 in exponential form is:

15926 = 2¹ × 7963¹

Step-2: Prime Factorization of 15946

Prime factors of 15946 are 2, 7, 17, 67. Prime factorization of 15946 in exponential form is:

15946 = 2¹ × 7¹ × 17¹ × 67¹

Step-3: Factors of 15926

List of positive integer factors of 15926 that divides 15926 without a remainder.

1, 2, 7963

Step-4: Factors of 15946

List of positive integer factors of 15946 that divides 15926 without a remainder.

1, 2, 7, 14, 17, 34, 67, 119, 134, 238, 469, 938, 1139, 2278, 7973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15926 and 15946. The biggest common factor number is the GCF number.
So the greatest common factor 15926 and 15946 is 2.

Also check out the Least Common Multiple of 15926 and 15946