What is the Greatest Common Factor of 31191 and 31206?

Greatest common factor (GCF) of 31191 and 31206 is 3.

GCF(31191,31206) = 3

We will now calculate the prime factors of 31191 and 31206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31191 and 31206.

How to find the GCF of 31191 and 31206?

We will first find the prime factorization of 31191 and 31206. After we will calculate the factors of 31191 and 31206 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31206

Prime factors of 31206 are 2, 3, 7, 743. Prime factorization of 31206 in exponential form is:

31206 = 2¹ × 3¹ × 7¹ × 743¹

Step-3: Factors of 31191

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

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

Step-4: Factors of 31206

List of positive integer factors of 31206 that divides 31191 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 743, 1486, 2229, 4458, 5201, 10402, 15603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31191 and 31206. The biggest common factor number is the GCF number.
So the greatest common factor 31191 and 31206 is 3.

Also check out the Least Common Multiple of 31191 and 31206