What is the Greatest Common Factor of 47739 and 47754?

Greatest common factor (GCF) of 47739 and 47754 is 3.

GCF(47739,47754) = 3

We will now calculate the prime factors of 47739 and 47754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47739 and 47754.

How to find the GCF of 47739 and 47754?

We will first find the prime factorization of 47739 and 47754. After we will calculate the factors of 47739 and 47754 and find the biggest common factor number .

Step-1: Prime Factorization of 47739

Prime factors of 47739 are 3, 15913. Prime factorization of 47739 in exponential form is:

47739 = 3¹ × 15913¹

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 47739

List of positive integer factors of 47739 that divides 47739 without a remainder.

1, 3, 15913

Step-4: Factors of 47754

List of positive integer factors of 47754 that divides 47739 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 47739 and 47754. The biggest common factor number is the GCF number.
So the greatest common factor 47739 and 47754 is 3.

Also check out the Least Common Multiple of 47739 and 47754