What is the Greatest Common Factor of 19340 and 19345?

Greatest common factor (GCF) of 19340 and 19345 is 5.

GCF(19340,19345) = 5

We will now calculate the prime factors of 19340 and 19345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19340 and 19345.

How to find the GCF of 19340 and 19345?

We will first find the prime factorization of 19340 and 19345. After we will calculate the factors of 19340 and 19345 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19345

Prime factors of 19345 are 5, 53, 73. Prime factorization of 19345 in exponential form is:

19345 = 5¹ × 53¹ × 73¹

Step-3: Factors of 19340

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

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

Step-4: Factors of 19345

List of positive integer factors of 19345 that divides 19340 without a remainder.

1, 5, 53, 73, 265, 365, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19340 and 19345. The biggest common factor number is the GCF number.
So the greatest common factor 19340 and 19345 is 5.

Also check out the Least Common Multiple of 19340 and 19345