What is the Greatest Common Factor of 15932 and 15946?

Greatest common factor (GCF) of 15932 and 15946 is 14.

GCF(15932,15946) = 14

We will now calculate the prime factors of 15932 and 15946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15932 and 15946.

How to find the GCF of 15932 and 15946?

We will first find the prime factorization of 15932 and 15946. After we will calculate the factors of 15932 and 15946 and find the biggest common factor number .

Step-1: Prime Factorization of 15932

Prime factors of 15932 are 2, 7, 569. Prime factorization of 15932 in exponential form is:

15932 = 2² × 7¹ × 569¹

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 15932

List of positive integer factors of 15932 that divides 15932 without a remainder.

1, 2, 4, 7, 14, 28, 569, 1138, 2276, 3983, 7966

Step-4: Factors of 15946

List of positive integer factors of 15946 that divides 15932 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 15932 and 15946. The biggest common factor number is the GCF number.
So the greatest common factor 15932 and 15946 is 14.

Also check out the Least Common Multiple of 15932 and 15946