What is the Greatest Common Factor of 31905 and 31925?

Greatest common factor (GCF) of 31905 and 31925 is 5.

GCF(31905,31925) = 5

We will now calculate the prime factors of 31905 and 31925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31905 and 31925.

How to find the GCF of 31905 and 31925?

We will first find the prime factorization of 31905 and 31925. After we will calculate the factors of 31905 and 31925 and find the biggest common factor number .

Step-1: Prime Factorization of 31905

Prime factors of 31905 are 3, 5, 709. Prime factorization of 31905 in exponential form is:

31905 = 3² × 5¹ × 709¹

Step-2: Prime Factorization of 31925

Prime factors of 31925 are 5, 1277. Prime factorization of 31925 in exponential form is:

31925 = 5² × 1277¹

Step-3: Factors of 31905

List of positive integer factors of 31905 that divides 31905 without a remainder.

1, 3, 5, 9, 15, 45, 709, 2127, 3545, 6381, 10635

Step-4: Factors of 31925

List of positive integer factors of 31925 that divides 31905 without a remainder.

1, 5, 25, 1277, 6385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31905 and 31925. The biggest common factor number is the GCF number.
So the greatest common factor 31905 and 31925 is 5.

Also check out the Least Common Multiple of 31905 and 31925