What is the Greatest Common Factor of 31174 and 31184?

Greatest common factor (GCF) of 31174 and 31184 is 2.

GCF(31174,31184) = 2

We will now calculate the prime factors of 31174 and 31184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31174 and 31184.

How to find the GCF of 31174 and 31184?

We will first find the prime factorization of 31174 and 31184. After we will calculate the factors of 31174 and 31184 and find the biggest common factor number .

Step-1: Prime Factorization of 31174

Prime factors of 31174 are 2, 11, 13, 109. Prime factorization of 31174 in exponential form is:

31174 = 2¹ × 11¹ × 13¹ × 109¹

Step-2: Prime Factorization of 31184

Prime factors of 31184 are 2, 1949. Prime factorization of 31184 in exponential form is:

31184 = 2⁴ × 1949¹

Step-3: Factors of 31174

List of positive integer factors of 31174 that divides 31174 without a remainder.

1, 2, 11, 13, 22, 26, 109, 143, 218, 286, 1199, 1417, 2398, 2834, 15587

Step-4: Factors of 31184

List of positive integer factors of 31184 that divides 31174 without a remainder.

1, 2, 4, 8, 16, 1949, 3898, 7796, 15592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31174 and 31184. The biggest common factor number is the GCF number.
So the greatest common factor 31174 and 31184 is 2.

Also check out the Least Common Multiple of 31174 and 31184