What is the Greatest Common Factor of 47094 and 47112?

Greatest common factor (GCF) of 47094 and 47112 is 6.

GCF(47094,47112) = 6

We will now calculate the prime factors of 47094 and 47112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47094 and 47112.

How to find the GCF of 47094 and 47112?

We will first find the prime factorization of 47094 and 47112. After we will calculate the factors of 47094 and 47112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47112

Prime factors of 47112 are 2, 3, 13, 151. Prime factorization of 47112 in exponential form is:

47112 = 2³ × 3¹ × 13¹ × 151¹

Step-3: Factors of 47094

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

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

Step-4: Factors of 47112

List of positive integer factors of 47112 that divides 47094 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 151, 156, 302, 312, 453, 604, 906, 1208, 1812, 1963, 3624, 3926, 5889, 7852, 11778, 15704, 23556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47094 and 47112. The biggest common factor number is the GCF number.
So the greatest common factor 47094 and 47112 is 6.

Also check out the Least Common Multiple of 47094 and 47112