What is the Greatest Common Factor of 19342 and 19361?

Greatest common factor (GCF) of 19342 and 19361 is 19.

GCF(19342,19361) = 19

We will now calculate the prime factors of 19342 and 19361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19342 and 19361.

How to find the GCF of 19342 and 19361?

We will first find the prime factorization of 19342 and 19361. After we will calculate the factors of 19342 and 19361 and find the biggest common factor number .

Step-1: Prime Factorization of 19342

Prime factors of 19342 are 2, 19, 509. Prime factorization of 19342 in exponential form is:

19342 = 2¹ × 19¹ × 509¹

Step-2: Prime Factorization of 19361

Prime factors of 19361 are 19, 1019. Prime factorization of 19361 in exponential form is:

19361 = 19¹ × 1019¹

Step-3: Factors of 19342

List of positive integer factors of 19342 that divides 19342 without a remainder.

1, 2, 19, 38, 509, 1018, 9671

Step-4: Factors of 19361

List of positive integer factors of 19361 that divides 19342 without a remainder.

1, 19, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19342 and 19361. The biggest common factor number is the GCF number.
So the greatest common factor 19342 and 19361 is 19.

Also check out the Least Common Multiple of 19342 and 19361