What is the Greatest Common Factor of 47748 and 47754?

Greatest common factor (GCF) of 47748 and 47754 is 6.

GCF(47748,47754) = 6

We will now calculate the prime factors of 47748 and 47754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47748 and 47754.

How to find the GCF of 47748 and 47754?

We will first find the prime factorization of 47748 and 47754. After we will calculate the factors of 47748 and 47754 and find the biggest common factor number .

Step-1: Prime Factorization of 47748

Prime factors of 47748 are 2, 3, 23, 173. Prime factorization of 47748 in exponential form is:

47748 = 2² × 3¹ × 23¹ × 173¹

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 47748

List of positive integer factors of 47748 that divides 47748 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 173, 276, 346, 519, 692, 1038, 2076, 3979, 7958, 11937, 15916, 23874

Step-4: Factors of 47754

List of positive integer factors of 47754 that divides 47748 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 47748 and 47754. The biggest common factor number is the GCF number.
So the greatest common factor 47748 and 47754 is 6.

Also check out the Least Common Multiple of 47748 and 47754