What is the Greatest Common Factor of 19221 and 19236?

Greatest common factor (GCF) of 19221 and 19236 is 3.

GCF(19221,19236) = 3

We will now calculate the prime factors of 19221 and 19236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19221 and 19236.

How to find the GCF of 19221 and 19236?

We will first find the prime factorization of 19221 and 19236. After we will calculate the factors of 19221 and 19236 and find the biggest common factor number .

Step-1: Prime Factorization of 19221

Prime factors of 19221 are 3, 43, 149. Prime factorization of 19221 in exponential form is:

19221 = 3¹ × 43¹ × 149¹

Step-2: Prime Factorization of 19236

Prime factors of 19236 are 2, 3, 7, 229. Prime factorization of 19236 in exponential form is:

19236 = 2² × 3¹ × 7¹ × 229¹

Step-3: Factors of 19221

List of positive integer factors of 19221 that divides 19221 without a remainder.

1, 3, 43, 129, 149, 447, 6407

Step-4: Factors of 19236

List of positive integer factors of 19236 that divides 19221 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 229, 458, 687, 916, 1374, 1603, 2748, 3206, 4809, 6412, 9618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19221 and 19236. The biggest common factor number is the GCF number.
So the greatest common factor 19221 and 19236 is 3.

Also check out the Least Common Multiple of 19221 and 19236