What is the Greatest Common Factor of 18634 and 18645?

Greatest common factor (GCF) of 18634 and 18645 is 11.

GCF(18634,18645) = 11

We will now calculate the prime factors of 18634 and 18645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18645.

How to find the GCF of 18634 and 18645?

We will first find the prime factorization of 18634 and 18645. After we will calculate the factors of 18634 and 18645 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 18645

Prime factors of 18645 are 3, 5, 11, 113. Prime factorization of 18645 in exponential form is:

18645 = 3¹ × 5¹ × 11¹ × 113¹

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 18645

List of positive integer factors of 18645 that divides 18634 without a remainder.

1, 3, 5, 11, 15, 33, 55, 113, 165, 339, 565, 1243, 1695, 3729, 6215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18645. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18645 is 11.

Also check out the Least Common Multiple of 18634 and 18645