What is the Greatest Common Factor of 18634 and 18642?

Greatest common factor (GCF) of 18634 and 18642 is 2.

GCF(18634,18642) = 2

We will now calculate the prime factors of 18634 and 18642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18642.

How to find the GCF of 18634 and 18642?

We will first find the prime factorization of 18634 and 18642. After we will calculate the factors of 18634 and 18642 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 18642

Prime factors of 18642 are 2, 3, 13, 239. Prime factorization of 18642 in exponential form is:

18642 = 2¹ × 3¹ × 13¹ × 239¹

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 18642

List of positive integer factors of 18642 that divides 18634 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 239, 478, 717, 1434, 3107, 6214, 9321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18642. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18642 is 2.

Also check out the Least Common Multiple of 18634 and 18642