What is the Greatest Common Factor of 19250 and 19261?

Greatest common factor (GCF) of 19250 and 19261 is 11.

GCF(19250,19261) = 11

We will now calculate the prime factors of 19250 and 19261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19250 and 19261.

How to find the GCF of 19250 and 19261?

We will first find the prime factorization of 19250 and 19261. After we will calculate the factors of 19250 and 19261 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 19261

Prime factors of 19261 are 11, 17, 103. Prime factorization of 19261 in exponential form is:

19261 = 11¹ × 17¹ × 103¹

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 19261

List of positive integer factors of 19261 that divides 19250 without a remainder.

1, 11, 17, 103, 187, 1133, 1751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19250 and 19261. The biggest common factor number is the GCF number.
So the greatest common factor 19250 and 19261 is 11.

Also check out the Least Common Multiple of 19250 and 19261