What is the Greatest Common Factor of 31955 and 31975?

Greatest common factor (GCF) of 31955 and 31975 is 5.

GCF(31955,31975) = 5

We will now calculate the prime factors of 31955 and 31975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31955 and 31975.

How to find the GCF of 31955 and 31975?

We will first find the prime factorization of 31955 and 31975. After we will calculate the factors of 31955 and 31975 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 31975

Prime factors of 31975 are 5, 1279. Prime factorization of 31975 in exponential form is:

31975 = 5² × 1279¹

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 31975

List of positive integer factors of 31975 that divides 31955 without a remainder.

1, 5, 25, 1279, 6395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31955 and 31975. The biggest common factor number is the GCF number.
So the greatest common factor 31955 and 31975 is 5.

Also check out the Least Common Multiple of 31955 and 31975