What is the Greatest Common Factor of 19236 and 19249?

Greatest common factor (GCF) of 19236 and 19249 is 1.

GCF(19236,19249) = 1

We will now calculate the prime factors of 19236 and 19249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19236 and 19249.

How to find the GCF of 19236 and 19249?

We will first find the prime factorization of 19236 and 19249. After we will calculate the factors of 19236 and 19249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19249

Prime factors of 19249 are 19249. Prime factorization of 19249 in exponential form is:

19249 = 19249¹

Step-3: Factors of 19236

List of positive integer factors of 19236 that divides 19236 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

Step-4: Factors of 19249

List of positive integer factors of 19249 that divides 19236 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19236 and 19249. The biggest common factor number is the GCF number.
So the greatest common factor 19236 and 19249 is 1.

Also check out the Least Common Multiple of 19236 and 19249