What is the Greatest Common Factor of 31198 and 31217?

Greatest common factor (GCF) of 31198 and 31217 is 19.

GCF(31198,31217) = 19

We will now calculate the prime factors of 31198 and 31217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31198 and 31217.

How to find the GCF of 31198 and 31217?

We will first find the prime factorization of 31198 and 31217. After we will calculate the factors of 31198 and 31217 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 31217

Prime factors of 31217 are 19, 31, 53. Prime factorization of 31217 in exponential form is:

31217 = 19¹ × 31¹ × 53¹

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 31217

List of positive integer factors of 31217 that divides 31198 without a remainder.

1, 19, 31, 53, 589, 1007, 1643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31198 and 31217. The biggest common factor number is the GCF number.
So the greatest common factor 31198 and 31217 is 19.

Also check out the Least Common Multiple of 31198 and 31217