What is the Greatest Common Factor of 18634 and 18643?

Greatest common factor (GCF) of 18634 and 18643 is 1.

GCF(18634,18643) = 1

We will now calculate the prime factors of 18634 and 18643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18643.

How to find the GCF of 18634 and 18643?

We will first find the prime factorization of 18634 and 18643. After we will calculate the factors of 18634 and 18643 and find the biggest common factor number .

Step-1: Prime Factorization of 18634

Prime factors of 18634 are 2, 7, 11. Prime factorization of 18634 in exponential form is:

18634 = 2¹ × 7¹ × 11³

Step-2: Prime Factorization of 18643

Prime factors of 18643 are 103, 181. Prime factorization of 18643 in exponential form is:

18643 = 103¹ × 181¹

Step-3: Factors of 18634

List of positive integer factors of 18634 that divides 18634 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1331, 1694, 2662, 9317

Step-4: Factors of 18643

List of positive integer factors of 18643 that divides 18634 without a remainder.

1, 103, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18643. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18643 is 1.

Also check out the Least Common Multiple of 18634 and 18643