What is the Greatest Common Factor of 47730 and 47750?

Greatest common factor (GCF) of 47730 and 47750 is 10.

GCF(47730,47750) = 10

We will now calculate the prime factors of 47730 and 47750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47730 and 47750.

How to find the GCF of 47730 and 47750?

We will first find the prime factorization of 47730 and 47750. After we will calculate the factors of 47730 and 47750 and find the biggest common factor number .

Step-1: Prime Factorization of 47730

Prime factors of 47730 are 2, 3, 5, 37, 43. Prime factorization of 47730 in exponential form is:

47730 = 2¹ × 3¹ × 5¹ × 37¹ × 43¹

Step-2: Prime Factorization of 47750

Prime factors of 47750 are 2, 5, 191. Prime factorization of 47750 in exponential form is:

47750 = 2¹ × 5³ × 191¹

Step-3: Factors of 47730

List of positive integer factors of 47730 that divides 47730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 43, 74, 86, 111, 129, 185, 215, 222, 258, 370, 430, 555, 645, 1110, 1290, 1591, 3182, 4773, 7955, 9546, 15910, 23865

Step-4: Factors of 47750

List of positive integer factors of 47750 that divides 47730 without a remainder.

1, 2, 5, 10, 25, 50, 125, 191, 250, 382, 955, 1910, 4775, 9550, 23875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47730 and 47750. The biggest common factor number is the GCF number.
So the greatest common factor 47730 and 47750 is 10.

Also check out the Least Common Multiple of 47730 and 47750