What is the Greatest Common Factor of 31955 and 31966?

Greatest common factor (GCF) of 31955 and 31966 is 11.

GCF(31955,31966) = 11

We will now calculate the prime factors of 31955 and 31966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31955 and 31966.

How to find the GCF of 31955 and 31966?

We will first find the prime factorization of 31955 and 31966. After we will calculate the factors of 31955 and 31966 and find the biggest common factor number .

Step-1: Prime Factorization of 31955

Prime factors of 31955 are 5, 7, 11, 83. Prime factorization of 31955 in exponential form is:

31955 = 5¹ × 7¹ × 11¹ × 83¹

Step-2: Prime Factorization of 31966

Prime factors of 31966 are 2, 11, 1453. Prime factorization of 31966 in exponential form is:

31966 = 2¹ × 11¹ × 1453¹

Step-3: Factors of 31955

List of positive integer factors of 31955 that divides 31955 without a remainder.

1, 5, 7, 11, 35, 55, 77, 83, 385, 415, 581, 913, 2905, 4565, 6391

Step-4: Factors of 31966

List of positive integer factors of 31966 that divides 31955 without a remainder.

1, 2, 11, 22, 1453, 2906, 15983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31955 and 31966. The biggest common factor number is the GCF number.
So the greatest common factor 31955 and 31966 is 11.

Also check out the Least Common Multiple of 31955 and 31966