What is the Greatest Common Factor of 18634 and 18649?

Greatest common factor (GCF) of 18634 and 18649 is 1.

GCF(18634,18649) = 1

We will now calculate the prime factors of 18634 and 18649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18649.

How to find the GCF of 18634 and 18649?

We will first find the prime factorization of 18634 and 18649. After we will calculate the factors of 18634 and 18649 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 18649

Prime factors of 18649 are 17, 1097. Prime factorization of 18649 in exponential form is:

18649 = 17¹ × 1097¹

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 18649

List of positive integer factors of 18649 that divides 18634 without a remainder.

1, 17, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18649. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18649 is 1.

Also check out the Least Common Multiple of 18634 and 18649