What is the Greatest Common Factor of 15914 and 15932?

Greatest common factor (GCF) of 15914 and 15932 is 2.

GCF(15914,15932) = 2

We will now calculate the prime factors of 15914 and 15932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15914 and 15932.

How to find the GCF of 15914 and 15932?

We will first find the prime factorization of 15914 and 15932. After we will calculate the factors of 15914 and 15932 and find the biggest common factor number .

Step-1: Prime Factorization of 15914

Prime factors of 15914 are 2, 73, 109. Prime factorization of 15914 in exponential form is:

15914 = 2¹ × 73¹ × 109¹

Step-2: 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-3: Factors of 15914

List of positive integer factors of 15914 that divides 15914 without a remainder.

1, 2, 73, 109, 146, 218, 7957

Step-4: Factors of 15932

List of positive integer factors of 15932 that divides 15914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15914 and 15932. The biggest common factor number is the GCF number.
So the greatest common factor 15914 and 15932 is 2.

Also check out the Least Common Multiple of 15914 and 15932