What is the Greatest Common Factor of 18904 and 18921?

Greatest common factor (GCF) of 18904 and 18921 is 17.

GCF(18904,18921) = 17

We will now calculate the prime factors of 18904 and 18921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18904 and 18921.

How to find the GCF of 18904 and 18921?

We will first find the prime factorization of 18904 and 18921. After we will calculate the factors of 18904 and 18921 and find the biggest common factor number .

Step-1: Prime Factorization of 18904

Prime factors of 18904 are 2, 17, 139. Prime factorization of 18904 in exponential form is:

18904 = 2³ × 17¹ × 139¹

Step-2: Prime Factorization of 18921

Prime factors of 18921 are 3, 7, 17, 53. Prime factorization of 18921 in exponential form is:

18921 = 3¹ × 7¹ × 17¹ × 53¹

Step-3: Factors of 18904

List of positive integer factors of 18904 that divides 18904 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 139, 278, 556, 1112, 2363, 4726, 9452

Step-4: Factors of 18921

List of positive integer factors of 18921 that divides 18904 without a remainder.

1, 3, 7, 17, 21, 51, 53, 119, 159, 357, 371, 901, 1113, 2703, 6307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18904 and 18921. The biggest common factor number is the GCF number.
So the greatest common factor 18904 and 18921 is 17.

Also check out the Least Common Multiple of 18904 and 18921