What is the Greatest Common Factor of 31176 and 31194?

Greatest common factor (GCF) of 31176 and 31194 is 18.

GCF(31176,31194) = 18

We will now calculate the prime factors of 31176 and 31194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31176 and 31194.

How to find the GCF of 31176 and 31194?

We will first find the prime factorization of 31176 and 31194. After we will calculate the factors of 31176 and 31194 and find the biggest common factor number .

Step-1: Prime Factorization of 31176

Prime factors of 31176 are 2, 3, 433. Prime factorization of 31176 in exponential form is:

31176 = 2³ × 3² × 433¹

Step-2: Prime Factorization of 31194

Prime factors of 31194 are 2, 3, 1733. Prime factorization of 31194 in exponential form is:

31194 = 2¹ × 3² × 1733¹

Step-3: Factors of 31176

List of positive integer factors of 31176 that divides 31176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 433, 866, 1299, 1732, 2598, 3464, 3897, 5196, 7794, 10392, 15588

Step-4: Factors of 31194

List of positive integer factors of 31194 that divides 31176 without a remainder.

1, 2, 3, 6, 9, 18, 1733, 3466, 5199, 10398, 15597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31176 and 31194. The biggest common factor number is the GCF number.
So the greatest common factor 31176 and 31194 is 18.

Also check out the Least Common Multiple of 31176 and 31194