What is the Greatest Common Factor of 31188 and 31205?

Greatest common factor (GCF) of 31188 and 31205 is 1.

GCF(31188,31205) = 1

We will now calculate the prime factors of 31188 and 31205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31188 and 31205.

How to find the GCF of 31188 and 31205?

We will first find the prime factorization of 31188 and 31205. After we will calculate the factors of 31188 and 31205 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 31205

Prime factors of 31205 are 5, 79. Prime factorization of 31205 in exponential form is:

31205 = 5¹ × 79²

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 31205

List of positive integer factors of 31205 that divides 31188 without a remainder.

1, 5, 79, 395, 6241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31188 and 31205. The biggest common factor number is the GCF number.
So the greatest common factor 31188 and 31205 is 1.

Also check out the Least Common Multiple of 31188 and 31205