What is the Greatest Common Factor of 31179 and 31198?

Greatest common factor (GCF) of 31179 and 31198 is 19.

GCF(31179,31198) = 19

We will now calculate the prime factors of 31179 and 31198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31179 and 31198.

How to find the GCF of 31179 and 31198?

We will first find the prime factorization of 31179 and 31198. After we will calculate the factors of 31179 and 31198 and find the biggest common factor number .

Step-1: Prime Factorization of 31179

Prime factors of 31179 are 3, 19, 547. Prime factorization of 31179 in exponential form is:

31179 = 3¹ × 19¹ × 547¹

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 31179

List of positive integer factors of 31179 that divides 31179 without a remainder.

1, 3, 19, 57, 547, 1641, 10393

Step-4: Factors of 31198

List of positive integer factors of 31198 that divides 31179 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31179 and 31198. The biggest common factor number is the GCF number.
So the greatest common factor 31179 and 31198 is 19.

Also check out the Least Common Multiple of 31179 and 31198