What is the Greatest Common Factor of 47740 and 47745?

Greatest common factor (GCF) of 47740 and 47745 is 5.

GCF(47740,47745) = 5

We will now calculate the prime factors of 47740 and 47745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47740 and 47745.

How to find the GCF of 47740 and 47745?

We will first find the prime factorization of 47740 and 47745. After we will calculate the factors of 47740 and 47745 and find the biggest common factor number .

Step-1: Prime Factorization of 47740

Prime factors of 47740 are 2, 5, 7, 11, 31. Prime factorization of 47740 in exponential form is:

47740 = 2² × 5¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 47745

Prime factors of 47745 are 3, 5, 1061. Prime factorization of 47745 in exponential form is:

47745 = 3² × 5¹ × 1061¹

Step-3: Factors of 47740

List of positive integer factors of 47740 that divides 47740 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 31, 35, 44, 55, 62, 70, 77, 110, 124, 140, 154, 155, 217, 220, 308, 310, 341, 385, 434, 620, 682, 770, 868, 1085, 1364, 1540, 1705, 2170, 2387, 3410, 4340, 4774, 6820, 9548, 11935, 23870

Step-4: Factors of 47745

List of positive integer factors of 47745 that divides 47740 without a remainder.

1, 3, 5, 9, 15, 45, 1061, 3183, 5305, 9549, 15915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47740 and 47745. The biggest common factor number is the GCF number.
So the greatest common factor 47740 and 47745 is 5.

Also check out the Least Common Multiple of 47740 and 47745