What is the Greatest Common Factor of 19254 and 19266?

Greatest common factor (GCF) of 19254 and 19266 is 6.

GCF(19254,19266) = 6

We will now calculate the prime factors of 19254 and 19266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19254 and 19266.

How to find the GCF of 19254 and 19266?

We will first find the prime factorization of 19254 and 19266. After we will calculate the factors of 19254 and 19266 and find the biggest common factor number .

Step-1: Prime Factorization of 19254

Prime factors of 19254 are 2, 3, 3209. Prime factorization of 19254 in exponential form is:

19254 = 2¹ × 3¹ × 3209¹

Step-2: Prime Factorization of 19266

Prime factors of 19266 are 2, 3, 13, 19. Prime factorization of 19266 in exponential form is:

19266 = 2¹ × 3¹ × 13² × 19¹

Step-3: Factors of 19254

List of positive integer factors of 19254 that divides 19254 without a remainder.

1, 2, 3, 6, 3209, 6418, 9627

Step-4: Factors of 19266

List of positive integer factors of 19266 that divides 19254 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 169, 247, 338, 494, 507, 741, 1014, 1482, 3211, 6422, 9633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19254 and 19266. The biggest common factor number is the GCF number.
So the greatest common factor 19254 and 19266 is 6.

Also check out the Least Common Multiple of 19254 and 19266