What is the Greatest Common Factor of 19236 and 19250?

Greatest common factor (GCF) of 19236 and 19250 is 14.

GCF(19236,19250) = 14

We will now calculate the prime factors of 19236 and 19250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19236 and 19250.

How to find the GCF of 19236 and 19250?

We will first find the prime factorization of 19236 and 19250. After we will calculate the factors of 19236 and 19250 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 19250

Prime factors of 19250 are 2, 5, 7, 11. Prime factorization of 19250 in exponential form is:

19250 = 2¹ × 5³ × 7¹ × 11¹

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 19250

List of positive integer factors of 19250 that divides 19236 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 125, 154, 175, 250, 275, 350, 385, 550, 770, 875, 1375, 1750, 1925, 2750, 3850, 9625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19236 and 19250. The biggest common factor number is the GCF number.
So the greatest common factor 19236 and 19250 is 14.

Also check out the Least Common Multiple of 19236 and 19250