What is the Greatest Common Factor of 17886 and 17904?

Greatest common factor (GCF) of 17886 and 17904 is 6.

GCF(17886,17904) = 6

We will now calculate the prime factors of 17886 and 17904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17886 and 17904.

How to find the GCF of 17886 and 17904?

We will first find the prime factorization of 17886 and 17904. After we will calculate the factors of 17886 and 17904 and find the biggest common factor number .

Step-1: Prime Factorization of 17886

Prime factors of 17886 are 2, 3, 11, 271. Prime factorization of 17886 in exponential form is:

17886 = 2¹ × 3¹ × 11¹ × 271¹

Step-2: Prime Factorization of 17904

Prime factors of 17904 are 2, 3, 373. Prime factorization of 17904 in exponential form is:

17904 = 2⁴ × 3¹ × 373¹

Step-3: Factors of 17886

List of positive integer factors of 17886 that divides 17886 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 271, 542, 813, 1626, 2981, 5962, 8943

Step-4: Factors of 17904

List of positive integer factors of 17904 that divides 17886 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17886 and 17904. The biggest common factor number is the GCF number.
So the greatest common factor 17886 and 17904 is 6.

Also check out the Least Common Multiple of 17886 and 17904