What is the Greatest Common Factor of 47740 and 47754?

Greatest common factor (GCF) of 47740 and 47754 is 14.

GCF(47740,47754) = 14

We will now calculate the prime factors of 47740 and 47754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47740 and 47754.

How to find the GCF of 47740 and 47754?

We will first find the prime factorization of 47740 and 47754. After we will calculate the factors of 47740 and 47754 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 47754

Prime factors of 47754 are 2, 3, 7, 379. Prime factorization of 47754 in exponential form is:

47754 = 2¹ × 3² × 7¹ × 379¹

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 47754

List of positive integer factors of 47754 that divides 47740 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 379, 758, 1137, 2274, 2653, 3411, 5306, 6822, 7959, 15918, 23877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47740 and 47754. The biggest common factor number is the GCF number.
So the greatest common factor 47740 and 47754 is 14.

Also check out the Least Common Multiple of 47740 and 47754