What is the Greatest Common Factor of 47187 and 47194?

Greatest common factor (GCF) of 47187 and 47194 is 7.

GCF(47187,47194) = 7

We will now calculate the prime factors of 47187 and 47194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47187 and 47194.

How to find the GCF of 47187 and 47194?

We will first find the prime factorization of 47187 and 47194. After we will calculate the factors of 47187 and 47194 and find the biggest common factor number .

Step-1: Prime Factorization of 47187

Prime factors of 47187 are 3, 7, 107. Prime factorization of 47187 in exponential form is:

47187 = 3² × 7² × 107¹

Step-2: Prime Factorization of 47194

Prime factors of 47194 are 2, 7, 3371. Prime factorization of 47194 in exponential form is:

47194 = 2¹ × 7¹ × 3371¹

Step-3: Factors of 47187

List of positive integer factors of 47187 that divides 47187 without a remainder.

1, 3, 7, 9, 21, 49, 63, 107, 147, 321, 441, 749, 963, 2247, 5243, 6741, 15729

Step-4: Factors of 47194

List of positive integer factors of 47194 that divides 47187 without a remainder.

1, 2, 7, 14, 3371, 6742, 23597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47187 and 47194. The biggest common factor number is the GCF number.
So the greatest common factor 47187 and 47194 is 7.

Also check out the Least Common Multiple of 47187 and 47194