What is the Greatest Common Factor of 18976 and 18986?

Greatest common factor (GCF) of 18976 and 18986 is 2.

GCF(18976,18986) = 2

We will now calculate the prime factors of 18976 and 18986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18976 and 18986.

How to find the GCF of 18976 and 18986?

We will first find the prime factorization of 18976 and 18986. After we will calculate the factors of 18976 and 18986 and find the biggest common factor number .

Step-1: Prime Factorization of 18976

Prime factors of 18976 are 2, 593. Prime factorization of 18976 in exponential form is:

18976 = 2⁵ × 593¹

Step-2: Prime Factorization of 18986

Prime factors of 18986 are 2, 11, 863. Prime factorization of 18986 in exponential form is:

18986 = 2¹ × 11¹ × 863¹

Step-3: Factors of 18976

List of positive integer factors of 18976 that divides 18976 without a remainder.

1, 2, 4, 8, 16, 32, 593, 1186, 2372, 4744, 9488

Step-4: Factors of 18986

List of positive integer factors of 18986 that divides 18976 without a remainder.

1, 2, 11, 22, 863, 1726, 9493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18976 and 18986. The biggest common factor number is the GCF number.
So the greatest common factor 18976 and 18986 is 2.

Also check out the Least Common Multiple of 18976 and 18986