What is the Greatest Common Factor of 19250 and 19269?

Greatest common factor (GCF) of 19250 and 19269 is 1.

GCF(19250,19269) = 1

We will now calculate the prime factors of 19250 and 19269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19250 and 19269.

How to find the GCF of 19250 and 19269?

We will first find the prime factorization of 19250 and 19269. After we will calculate the factors of 19250 and 19269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19269

Prime factors of 19269 are 3, 2141. Prime factorization of 19269 in exponential form is:

19269 = 3² × 2141¹

Step-3: Factors of 19250

List of positive integer factors of 19250 that divides 19250 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

Step-4: Factors of 19269

List of positive integer factors of 19269 that divides 19250 without a remainder.

1, 3, 9, 2141, 6423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19250 and 19269. The biggest common factor number is the GCF number.
So the greatest common factor 19250 and 19269 is 1.

Also check out the Least Common Multiple of 19250 and 19269