What is the Greatest Common Factor of 18634 and 18654?

Greatest common factor (GCF) of 18634 and 18654 is 2.

GCF(18634,18654) = 2

We will now calculate the prime factors of 18634 and 18654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18654.

How to find the GCF of 18634 and 18654?

We will first find the prime factorization of 18634 and 18654. After we will calculate the factors of 18634 and 18654 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 18654

Prime factors of 18654 are 2, 3, 3109. Prime factorization of 18654 in exponential form is:

18654 = 2¹ × 3¹ × 3109¹

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 18654

List of positive integer factors of 18654 that divides 18634 without a remainder.

1, 2, 3, 6, 3109, 6218, 9327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18654. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18654 is 2.

Also check out the Least Common Multiple of 18634 and 18654