What is the Greatest Common Factor of 15904 and 15910?

Greatest common factor (GCF) of 15904 and 15910 is 2.

GCF(15904,15910) = 2

We will now calculate the prime factors of 15904 and 15910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15904 and 15910.

How to find the GCF of 15904 and 15910?

We will first find the prime factorization of 15904 and 15910. After we will calculate the factors of 15904 and 15910 and find the biggest common factor number .

Step-1: Prime Factorization of 15904

Prime factors of 15904 are 2, 7, 71. Prime factorization of 15904 in exponential form is:

15904 = 2⁵ × 7¹ × 71¹

Step-2: Prime Factorization of 15910

Prime factors of 15910 are 2, 5, 37, 43. Prime factorization of 15910 in exponential form is:

15910 = 2¹ × 5¹ × 37¹ × 43¹

Step-3: Factors of 15904

List of positive integer factors of 15904 that divides 15904 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 71, 112, 142, 224, 284, 497, 568, 994, 1136, 1988, 2272, 3976, 7952

Step-4: Factors of 15910

List of positive integer factors of 15910 that divides 15904 without a remainder.

1, 2, 5, 10, 37, 43, 74, 86, 185, 215, 370, 430, 1591, 3182, 7955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15904 and 15910. The biggest common factor number is the GCF number.
So the greatest common factor 15904 and 15910 is 2.

Also check out the Least Common Multiple of 15904 and 15910