What is the Greatest Common Factor of 19395 and 19402?

Greatest common factor (GCF) of 19395 and 19402 is 1.

GCF(19395,19402) = 1

We will now calculate the prime factors of 19395 and 19402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19395 and 19402.

How to find the GCF of 19395 and 19402?

We will first find the prime factorization of 19395 and 19402. After we will calculate the factors of 19395 and 19402 and find the biggest common factor number .

Step-1: Prime Factorization of 19395

Prime factors of 19395 are 3, 5, 431. Prime factorization of 19395 in exponential form is:

19395 = 3² × 5¹ × 431¹

Step-2: Prime Factorization of 19402

Prime factors of 19402 are 2, 89, 109. Prime factorization of 19402 in exponential form is:

19402 = 2¹ × 89¹ × 109¹

Step-3: Factors of 19395

List of positive integer factors of 19395 that divides 19395 without a remainder.

1, 3, 5, 9, 15, 45, 431, 1293, 2155, 3879, 6465

Step-4: Factors of 19402

List of positive integer factors of 19402 that divides 19395 without a remainder.

1, 2, 89, 109, 178, 218, 9701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19395 and 19402. The biggest common factor number is the GCF number.
So the greatest common factor 19395 and 19402 is 1.

Also check out the Least Common Multiple of 19395 and 19402