What is the Greatest Common Factor of 47726 and 47740?

Greatest common factor (GCF) of 47726 and 47740 is 14.

GCF(47726,47740) = 14

We will now calculate the prime factors of 47726 and 47740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47726 and 47740.

How to find the GCF of 47726 and 47740?

We will first find the prime factorization of 47726 and 47740. After we will calculate the factors of 47726 and 47740 and find the biggest common factor number .

Step-1: Prime Factorization of 47726

Prime factors of 47726 are 2, 7, 487. Prime factorization of 47726 in exponential form is:

47726 = 2¹ × 7² × 487¹

Step-2: 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-3: Factors of 47726

List of positive integer factors of 47726 that divides 47726 without a remainder.

1, 2, 7, 14, 49, 98, 487, 974, 3409, 6818, 23863

Step-4: Factors of 47740

List of positive integer factors of 47740 that divides 47726 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47726 and 47740. The biggest common factor number is the GCF number.
So the greatest common factor 47726 and 47740 is 14.

Also check out the Least Common Multiple of 47726 and 47740