What is the Greatest Common Factor of 47241 and 47250?

Greatest common factor (GCF) of 47241 and 47250 is 9.

GCF(47241,47250) = 9

We will now calculate the prime factors of 47241 and 47250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47241 and 47250.

How to find the GCF of 47241 and 47250?

We will first find the prime factorization of 47241 and 47250. After we will calculate the factors of 47241 and 47250 and find the biggest common factor number .

Step-1: Prime Factorization of 47241

Prime factors of 47241 are 3, 29, 181. Prime factorization of 47241 in exponential form is:

47241 = 3² × 29¹ × 181¹

Step-2: Prime Factorization of 47250

Prime factors of 47250 are 2, 3, 5, 7. Prime factorization of 47250 in exponential form is:

47250 = 2¹ × 3³ × 5³ × 7¹

Step-3: Factors of 47241

List of positive integer factors of 47241 that divides 47241 without a remainder.

1, 3, 9, 29, 87, 181, 261, 543, 1629, 5249, 15747

Step-4: Factors of 47250

List of positive integer factors of 47250 that divides 47241 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 125, 126, 135, 150, 175, 189, 210, 225, 250, 270, 315, 350, 375, 378, 450, 525, 630, 675, 750, 875, 945, 1050, 1125, 1350, 1575, 1750, 1890, 2250, 2625, 3150, 3375, 4725, 5250, 6750, 7875, 9450, 15750, 23625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47241 and 47250. The biggest common factor number is the GCF number.
So the greatest common factor 47241 and 47250 is 9.

Also check out the Least Common Multiple of 47241 and 47250