What is the Greatest Common Factor of 18634 and 18652?

Greatest common factor (GCF) of 18634 and 18652 is 2.

GCF(18634,18652) = 2

We will now calculate the prime factors of 18634 and 18652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18652.

How to find the GCF of 18634 and 18652?

We will first find the prime factorization of 18634 and 18652. After we will calculate the factors of 18634 and 18652 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 18652

Prime factors of 18652 are 2, 4663. Prime factorization of 18652 in exponential form is:

18652 = 2² × 4663¹

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 18652

List of positive integer factors of 18652 that divides 18634 without a remainder.

1, 2, 4, 4663, 9326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18652. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18652 is 2.

Also check out the Least Common Multiple of 18634 and 18652