What is the Greatest Common Factor of 31182 and 31191?

Greatest common factor (GCF) of 31182 and 31191 is 3.

GCF(31182,31191) = 3

We will now calculate the prime factors of 31182 and 31191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31182 and 31191.

How to find the GCF of 31182 and 31191?

We will first find the prime factorization of 31182 and 31191. After we will calculate the factors of 31182 and 31191 and find the biggest common factor number .

Step-1: Prime Factorization of 31182

Prime factors of 31182 are 2, 3, 5197. Prime factorization of 31182 in exponential form is:

31182 = 2¹ × 3¹ × 5197¹

Step-2: Prime Factorization of 31191

Prime factors of 31191 are 3, 37, 281. Prime factorization of 31191 in exponential form is:

31191 = 3¹ × 37¹ × 281¹

Step-3: Factors of 31182

List of positive integer factors of 31182 that divides 31182 without a remainder.

1, 2, 3, 6, 5197, 10394, 15591

Step-4: Factors of 31191

List of positive integer factors of 31191 that divides 31182 without a remainder.

1, 3, 37, 111, 281, 843, 10397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31182 and 31191. The biggest common factor number is the GCF number.
So the greatest common factor 31182 and 31191 is 3.

Also check out the Least Common Multiple of 31182 and 31191