What is the Greatest Common Factor of 15890 and 15908?

Greatest common factor (GCF) of 15890 and 15908 is 2.

GCF(15890,15908) = 2

We will now calculate the prime factors of 15890 and 15908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15890 and 15908.

How to find the GCF of 15890 and 15908?

We will first find the prime factorization of 15890 and 15908. After we will calculate the factors of 15890 and 15908 and find the biggest common factor number .

Step-1: Prime Factorization of 15890

Prime factors of 15890 are 2, 5, 7, 227. Prime factorization of 15890 in exponential form is:

15890 = 2¹ × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 15908

Prime factors of 15908 are 2, 41, 97. Prime factorization of 15908 in exponential form is:

15908 = 2² × 41¹ × 97¹

Step-3: Factors of 15890

List of positive integer factors of 15890 that divides 15890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 227, 454, 1135, 1589, 2270, 3178, 7945

Step-4: Factors of 15908

List of positive integer factors of 15908 that divides 15890 without a remainder.

1, 2, 4, 41, 82, 97, 164, 194, 388, 3977, 7954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15890 and 15908. The biggest common factor number is the GCF number.
So the greatest common factor 15890 and 15908 is 2.

Also check out the Least Common Multiple of 15890 and 15908