What is the Greatest Common Factor of 47289 and 47296?

Greatest common factor (GCF) of 47289 and 47296 is 1.

GCF(47289,47296) = 1

We will now calculate the prime factors of 47289 and 47296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47289 and 47296.

How to find the GCF of 47289 and 47296?

We will first find the prime factorization of 47289 and 47296. After we will calculate the factors of 47289 and 47296 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 47296

Prime factors of 47296 are 2, 739. Prime factorization of 47296 in exponential form is:

47296 = 2⁶ × 739¹

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 47296

List of positive integer factors of 47296 that divides 47289 without a remainder.

1, 2, 4, 8, 16, 32, 64, 739, 1478, 2956, 5912, 11824, 23648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47289 and 47296. The biggest common factor number is the GCF number.
So the greatest common factor 47289 and 47296 is 1.

Also check out the Least Common Multiple of 47289 and 47296