What is the Greatest Common Factor of 19345 and 19364?

Greatest common factor (GCF) of 19345 and 19364 is 1.

GCF(19345,19364) = 1

We will now calculate the prime factors of 19345 and 19364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19345 and 19364.

How to find the GCF of 19345 and 19364?

We will first find the prime factorization of 19345 and 19364. After we will calculate the factors of 19345 and 19364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19364

Prime factors of 19364 are 2, 47, 103. Prime factorization of 19364 in exponential form is:

19364 = 2² × 47¹ × 103¹

Step-3: Factors of 19345

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

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

Step-4: Factors of 19364

List of positive integer factors of 19364 that divides 19345 without a remainder.

1, 2, 4, 47, 94, 103, 188, 206, 412, 4841, 9682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19345 and 19364. The biggest common factor number is the GCF number.
So the greatest common factor 19345 and 19364 is 1.

Also check out the Least Common Multiple of 19345 and 19364