What is the Greatest Common Factor of 31880 and 31898?

Greatest common factor (GCF) of 31880 and 31898 is 2.

GCF(31880,31898) = 2

We will now calculate the prime factors of 31880 and 31898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31880 and 31898.

How to find the GCF of 31880 and 31898?

We will first find the prime factorization of 31880 and 31898. After we will calculate the factors of 31880 and 31898 and find the biggest common factor number .

Step-1: Prime Factorization of 31880

Prime factors of 31880 are 2, 5, 797. Prime factorization of 31880 in exponential form is:

31880 = 2³ × 5¹ × 797¹

Step-2: Prime Factorization of 31898

Prime factors of 31898 are 2, 41, 389. Prime factorization of 31898 in exponential form is:

31898 = 2¹ × 41¹ × 389¹

Step-3: Factors of 31880

List of positive integer factors of 31880 that divides 31880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 797, 1594, 3188, 3985, 6376, 7970, 15940

Step-4: Factors of 31898

List of positive integer factors of 31898 that divides 31880 without a remainder.

1, 2, 41, 82, 389, 778, 15949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31880 and 31898. The biggest common factor number is the GCF number.
So the greatest common factor 31880 and 31898 is 2.

Also check out the Least Common Multiple of 31880 and 31898