What is the Greatest Common Factor of 18419 and 18434?

Greatest common factor (GCF) of 18419 and 18434 is 1.

GCF(18419,18434) = 1

We will now calculate the prime factors of 18419 and 18434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18419 and 18434.

How to find the GCF of 18419 and 18434?

We will first find the prime factorization of 18419 and 18434. After we will calculate the factors of 18419 and 18434 and find the biggest common factor number .

Step-1: Prime Factorization of 18419

Prime factors of 18419 are 113, 163. Prime factorization of 18419 in exponential form is:

18419 = 113¹ × 163¹

Step-2: Prime Factorization of 18434

Prime factors of 18434 are 2, 13, 709. Prime factorization of 18434 in exponential form is:

18434 = 2¹ × 13¹ × 709¹

Step-3: Factors of 18419

List of positive integer factors of 18419 that divides 18419 without a remainder.

1, 113, 163

Step-4: Factors of 18434

List of positive integer factors of 18434 that divides 18419 without a remainder.

1, 2, 13, 26, 709, 1418, 9217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18419 and 18434. The biggest common factor number is the GCF number.
So the greatest common factor 18419 and 18434 is 1.

Also check out the Least Common Multiple of 18419 and 18434