What is the Greatest Common Factor of 47250 and 47270?

Greatest common factor (GCF) of 47250 and 47270 is 10.

GCF(47250,47270) = 10

We will now calculate the prime factors of 47250 and 47270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47250 and 47270.

How to find the GCF of 47250 and 47270?

We will first find the prime factorization of 47250 and 47270. After we will calculate the factors of 47250 and 47270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47270

Prime factors of 47270 are 2, 5, 29, 163. Prime factorization of 47270 in exponential form is:

47270 = 2¹ × 5¹ × 29¹ × 163¹

Step-3: Factors of 47250

List of positive integer factors of 47250 that divides 47250 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

Step-4: Factors of 47270

List of positive integer factors of 47270 that divides 47250 without a remainder.

1, 2, 5, 10, 29, 58, 145, 163, 290, 326, 815, 1630, 4727, 9454, 23635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47250 and 47270. The biggest common factor number is the GCF number.
So the greatest common factor 47250 and 47270 is 10.

Also check out the Least Common Multiple of 47250 and 47270