What is the Greatest Common Factor of 47088 and 47094?

Greatest common factor (GCF) of 47088 and 47094 is 6.

GCF(47088,47094) = 6

We will now calculate the prime factors of 47088 and 47094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47088 and 47094.

How to find the GCF of 47088 and 47094?

We will first find the prime factorization of 47088 and 47094. After we will calculate the factors of 47088 and 47094 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 47094

Prime factors of 47094 are 2, 3, 47, 167. Prime factorization of 47094 in exponential form is:

47094 = 2¹ × 3¹ × 47¹ × 167¹

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 47094

List of positive integer factors of 47094 that divides 47088 without a remainder.

1, 2, 3, 6, 47, 94, 141, 167, 282, 334, 501, 1002, 7849, 15698, 23547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47088 and 47094. The biggest common factor number is the GCF number.
So the greatest common factor 47088 and 47094 is 6.

Also check out the Least Common Multiple of 47088 and 47094