What is the Greatest Common Factor of 47235 and 47250?

Greatest common factor (GCF) of 47235 and 47250 is 15.

GCF(47235,47250) = 15

We will now calculate the prime factors of 47235 and 47250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47235 and 47250.

How to find the GCF of 47235 and 47250?

We will first find the prime factorization of 47235 and 47250. After we will calculate the factors of 47235 and 47250 and find the biggest common factor number .

Step-1: Prime Factorization of 47235

Prime factors of 47235 are 3, 5, 47, 67. Prime factorization of 47235 in exponential form is:

47235 = 3¹ × 5¹ × 47¹ × 67¹

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 47235

List of positive integer factors of 47235 that divides 47235 without a remainder.

1, 3, 5, 15, 47, 67, 141, 201, 235, 335, 705, 1005, 3149, 9447, 15745

Step-4: Factors of 47250

List of positive integer factors of 47250 that divides 47235 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 47235 and 47250. The biggest common factor number is the GCF number.
So the greatest common factor 47235 and 47250 is 15.

Also check out the Least Common Multiple of 47235 and 47250