What is the Greatest Common Factor of 17925 and 17934?

Greatest common factor (GCF) of 17925 and 17934 is 3.

GCF(17925,17934) = 3

We will now calculate the prime factors of 17925 and 17934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17925 and 17934.

How to find the GCF of 17925 and 17934?

We will first find the prime factorization of 17925 and 17934. After we will calculate the factors of 17925 and 17934 and find the biggest common factor number .

Step-1: Prime Factorization of 17925

Prime factors of 17925 are 3, 5, 239. Prime factorization of 17925 in exponential form is:

17925 = 3¹ × 5² × 239¹

Step-2: Prime Factorization of 17934

Prime factors of 17934 are 2, 3, 7, 61. Prime factorization of 17934 in exponential form is:

17934 = 2¹ × 3¹ × 7² × 61¹

Step-3: Factors of 17925

List of positive integer factors of 17925 that divides 17925 without a remainder.

1, 3, 5, 15, 25, 75, 239, 717, 1195, 3585, 5975

Step-4: Factors of 17934

List of positive integer factors of 17934 that divides 17925 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 61, 98, 122, 147, 183, 294, 366, 427, 854, 1281, 2562, 2989, 5978, 8967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17925 and 17934. The biggest common factor number is the GCF number.
So the greatest common factor 17925 and 17934 is 3.

Also check out the Least Common Multiple of 17925 and 17934