What is the Greatest Common Factor of 47754 and 47766?

Greatest common factor (GCF) of 47754 and 47766 is 6.

GCF(47754,47766) = 6

We will now calculate the prime factors of 47754 and 47766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47754 and 47766.

How to find the GCF of 47754 and 47766?

We will first find the prime factorization of 47754 and 47766. After we will calculate the factors of 47754 and 47766 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47766

Prime factors of 47766 are 2, 3, 19, 419. Prime factorization of 47766 in exponential form is:

47766 = 2¹ × 3¹ × 19¹ × 419¹

Step-3: Factors of 47754

List of positive integer factors of 47754 that divides 47754 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

Step-4: Factors of 47766

List of positive integer factors of 47766 that divides 47754 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 419, 838, 1257, 2514, 7961, 15922, 23883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47754 and 47766. The biggest common factor number is the GCF number.
So the greatest common factor 47754 and 47766 is 6.

Also check out the Least Common Multiple of 47754 and 47766