What is the Greatest Common Factor of 47541 and 47559?

Greatest common factor (GCF) of 47541 and 47559 is 3.

GCF(47541,47559) = 3

We will now calculate the prime factors of 47541 and 47559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47541 and 47559.

How to find the GCF of 47541 and 47559?

We will first find the prime factorization of 47541 and 47559. After we will calculate the factors of 47541 and 47559 and find the biggest common factor number .

Step-1: Prime Factorization of 47541

Prime factors of 47541 are 3, 13, 23, 53. Prime factorization of 47541 in exponential form is:

47541 = 3¹ × 13¹ × 23¹ × 53¹

Step-2: Prime Factorization of 47559

Prime factors of 47559 are 3, 83, 191. Prime factorization of 47559 in exponential form is:

47559 = 3¹ × 83¹ × 191¹

Step-3: Factors of 47541

List of positive integer factors of 47541 that divides 47541 without a remainder.

1, 3, 13, 23, 39, 53, 69, 159, 299, 689, 897, 1219, 2067, 3657, 15847

Step-4: Factors of 47559

List of positive integer factors of 47559 that divides 47541 without a remainder.

1, 3, 83, 191, 249, 573, 15853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47541 and 47559. The biggest common factor number is the GCF number.
So the greatest common factor 47541 and 47559 is 3.

Also check out the Least Common Multiple of 47541 and 47559