What is the Greatest Common Factor of 47088 and 47093?

Greatest common factor (GCF) of 47088 and 47093 is 1.

GCF(47088,47093) = 1

We will now calculate the prime factors of 47088 and 47093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47088 and 47093.

How to find the GCF of 47088 and 47093?

We will first find the prime factorization of 47088 and 47093. After we will calculate the factors of 47088 and 47093 and find the biggest common factor number .

Step-1: Prime Factorization of 47088

Prime factors of 47088 are 2, 3, 109. Prime factorization of 47088 in exponential form is:

47088 = 2⁴ × 3³ × 109¹

Step-2: Prime Factorization of 47093

Prime factors of 47093 are 47093. Prime factorization of 47093 in exponential form is:

47093 = 47093¹

Step-3: Factors of 47088

List of positive integer factors of 47088 that divides 47088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 109, 144, 216, 218, 327, 432, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 2943, 3924, 5232, 5886, 7848, 11772, 15696, 23544

Step-4: Factors of 47093

List of positive integer factors of 47093 that divides 47088 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47088 and 47093. The biggest common factor number is the GCF number.
So the greatest common factor 47088 and 47093 is 1.

Also check out the Least Common Multiple of 47088 and 47093