What is the Greatest Common Factor of 31900 and 31913?

Greatest common factor (GCF) of 31900 and 31913 is 1.

GCF(31900,31913) = 1

We will now calculate the prime factors of 31900 and 31913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31900 and 31913.

How to find the GCF of 31900 and 31913?

We will first find the prime factorization of 31900 and 31913. After we will calculate the factors of 31900 and 31913 and find the biggest common factor number .

Step-1: Prime Factorization of 31900

Prime factors of 31900 are 2, 5, 11, 29. Prime factorization of 31900 in exponential form is:

31900 = 2² × 5² × 11¹ × 29¹

Step-2: Prime Factorization of 31913

Prime factors of 31913 are 7, 47, 97. Prime factorization of 31913 in exponential form is:

31913 = 7¹ × 47¹ × 97¹

Step-3: Factors of 31900

List of positive integer factors of 31900 that divides 31900 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 29, 44, 50, 55, 58, 100, 110, 116, 145, 220, 275, 290, 319, 550, 580, 638, 725, 1100, 1276, 1450, 1595, 2900, 3190, 6380, 7975, 15950

Step-4: Factors of 31913

List of positive integer factors of 31913 that divides 31900 without a remainder.

1, 7, 47, 97, 329, 679, 4559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31900 and 31913. The biggest common factor number is the GCF number.
So the greatest common factor 31900 and 31913 is 1.

Also check out the Least Common Multiple of 31900 and 31913