What is the Greatest Common Factor of 19236 and 19241?

Greatest common factor (GCF) of 19236 and 19241 is 1.

GCF(19236,19241) = 1

We will now calculate the prime factors of 19236 and 19241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19236 and 19241.

How to find the GCF of 19236 and 19241?

We will first find the prime factorization of 19236 and 19241. After we will calculate the factors of 19236 and 19241 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 19241

Prime factors of 19241 are 71, 271. Prime factorization of 19241 in exponential form is:

19241 = 71¹ × 271¹

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 19241

List of positive integer factors of 19241 that divides 19236 without a remainder.

1, 71, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19236 and 19241. The biggest common factor number is the GCF number.
So the greatest common factor 19236 and 19241 is 1.

Also check out the Least Common Multiple of 19236 and 19241