What is the Greatest Common Factor of 31188 and 31198?

Greatest common factor (GCF) of 31188 and 31198 is 2.

GCF(31188,31198) = 2

We will now calculate the prime factors of 31188 and 31198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31188 and 31198.

How to find the GCF of 31188 and 31198?

We will first find the prime factorization of 31188 and 31198. After we will calculate the factors of 31188 and 31198 and find the biggest common factor number .

Step-1: Prime Factorization of 31188

Prime factors of 31188 are 2, 3, 23, 113. Prime factorization of 31188 in exponential form is:

31188 = 2² × 3¹ × 23¹ × 113¹

Step-2: Prime Factorization of 31198

Prime factors of 31198 are 2, 19, 821. Prime factorization of 31198 in exponential form is:

31198 = 2¹ × 19¹ × 821¹

Step-3: Factors of 31188

List of positive integer factors of 31188 that divides 31188 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 113, 138, 226, 276, 339, 452, 678, 1356, 2599, 5198, 7797, 10396, 15594

Step-4: Factors of 31198

List of positive integer factors of 31198 that divides 31188 without a remainder.

1, 2, 19, 38, 821, 1642, 15599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31188 and 31198. The biggest common factor number is the GCF number.
So the greatest common factor 31188 and 31198 is 2.

Also check out the Least Common Multiple of 31188 and 31198