What is the Greatest Common Factor of 31198 and 31207?

Greatest common factor (GCF) of 31198 and 31207 is 1.

GCF(31198,31207) = 1

We will now calculate the prime factors of 31198 and 31207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31198 and 31207.

How to find the GCF of 31198 and 31207?

We will first find the prime factorization of 31198 and 31207. After we will calculate the factors of 31198 and 31207 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31207

Prime factors of 31207 are 11, 2837. Prime factorization of 31207 in exponential form is:

31207 = 11¹ × 2837¹

Step-3: Factors of 31198

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

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

Step-4: Factors of 31207

List of positive integer factors of 31207 that divides 31198 without a remainder.

1, 11, 2837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31198 and 31207. The biggest common factor number is the GCF number.
So the greatest common factor 31198 and 31207 is 1.

Also check out the Least Common Multiple of 31198 and 31207