What is the Greatest Common Factor of 18642 and 18655?

Greatest common factor (GCF) of 18642 and 18655 is 13.

GCF(18642,18655) = 13

We will now calculate the prime factors of 18642 and 18655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18642 and 18655.

How to find the GCF of 18642 and 18655?

We will first find the prime factorization of 18642 and 18655. After we will calculate the factors of 18642 and 18655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18655

Prime factors of 18655 are 5, 7, 13, 41. Prime factorization of 18655 in exponential form is:

18655 = 5¹ × 7¹ × 13¹ × 41¹

Step-3: Factors of 18642

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

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

Step-4: Factors of 18655

List of positive integer factors of 18655 that divides 18642 without a remainder.

1, 5, 7, 13, 35, 41, 65, 91, 205, 287, 455, 533, 1435, 2665, 3731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18642 and 18655. The biggest common factor number is the GCF number.
So the greatest common factor 18642 and 18655 is 13.

Also check out the Least Common Multiple of 18642 and 18655