What is the Greatest Common Factor of 19266 and 19275?

Greatest common factor (GCF) of 19266 and 19275 is 3.

GCF(19266,19275) = 3

We will now calculate the prime factors of 19266 and 19275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19266 and 19275.

How to find the GCF of 19266 and 19275?

We will first find the prime factorization of 19266 and 19275. After we will calculate the factors of 19266 and 19275 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19275

Prime factors of 19275 are 3, 5, 257. Prime factorization of 19275 in exponential form is:

19275 = 3¹ × 5² × 257¹

Step-3: Factors of 19266

List of positive integer factors of 19266 that divides 19266 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

Step-4: Factors of 19275

List of positive integer factors of 19275 that divides 19266 without a remainder.

1, 3, 5, 15, 25, 75, 257, 771, 1285, 3855, 6425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19266 and 19275. The biggest common factor number is the GCF number.
So the greatest common factor 19266 and 19275 is 3.

Also check out the Least Common Multiple of 19266 and 19275