What is the Greatest Common Factor of 19325 and 19340?

Greatest common factor (GCF) of 19325 and 19340 is 5.

GCF(19325,19340) = 5

We will now calculate the prime factors of 19325 and 19340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19325 and 19340.

How to find the GCF of 19325 and 19340?

We will first find the prime factorization of 19325 and 19340. After we will calculate the factors of 19325 and 19340 and find the biggest common factor number .

Step-1: Prime Factorization of 19325

Prime factors of 19325 are 5, 773. Prime factorization of 19325 in exponential form is:

19325 = 5² × 773¹

Step-2: Prime Factorization of 19340

Prime factors of 19340 are 2, 5, 967. Prime factorization of 19340 in exponential form is:

19340 = 2² × 5¹ × 967¹

Step-3: Factors of 19325

List of positive integer factors of 19325 that divides 19325 without a remainder.

1, 5, 25, 773, 3865

Step-4: Factors of 19340

List of positive integer factors of 19340 that divides 19325 without a remainder.

1, 2, 4, 5, 10, 20, 967, 1934, 3868, 4835, 9670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19325 and 19340. The biggest common factor number is the GCF number.
So the greatest common factor 19325 and 19340 is 5.

Also check out the Least Common Multiple of 19325 and 19340