What is the Greatest Common Factor of 47754 and 47772?

Greatest common factor (GCF) of 47754 and 47772 is 18.

GCF(47754,47772) = 18

We will now calculate the prime factors of 47754 and 47772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47754 and 47772.

How to find the GCF of 47754 and 47772?

We will first find the prime factorization of 47754 and 47772. After we will calculate the factors of 47754 and 47772 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 47772

Prime factors of 47772 are 2, 3, 1327. Prime factorization of 47772 in exponential form is:

47772 = 2² × 3² × 1327¹

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 47772

List of positive integer factors of 47772 that divides 47754 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1327, 2654, 3981, 5308, 7962, 11943, 15924, 23886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47754 and 47772. The biggest common factor number is the GCF number.
So the greatest common factor 47754 and 47772 is 18.

Also check out the Least Common Multiple of 47754 and 47772