What is the Greatest Common Factor of 47289 and 47304?

Greatest common factor (GCF) of 47289 and 47304 is 3.

GCF(47289,47304) = 3

We will now calculate the prime factors of 47289 and 47304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47289 and 47304.

How to find the GCF of 47289 and 47304?

We will first find the prime factorization of 47289 and 47304. After we will calculate the factors of 47289 and 47304 and find the biggest common factor number .

Step-1: Prime Factorization of 47289

Prime factors of 47289 are 3, 11, 1433. Prime factorization of 47289 in exponential form is:

47289 = 3¹ × 11¹ × 1433¹

Step-2: Prime Factorization of 47304

Prime factors of 47304 are 2, 3, 73. Prime factorization of 47304 in exponential form is:

47304 = 2³ × 3⁴ × 73¹

Step-3: Factors of 47289

List of positive integer factors of 47289 that divides 47289 without a remainder.

1, 3, 11, 33, 1433, 4299, 15763

Step-4: Factors of 47304

List of positive integer factors of 47304 that divides 47289 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 81, 108, 146, 162, 216, 219, 292, 324, 438, 584, 648, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 5913, 7884, 11826, 15768, 23652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47289 and 47304. The biggest common factor number is the GCF number.
So the greatest common factor 47289 and 47304 is 3.

Also check out the Least Common Multiple of 47289 and 47304