What is the Greatest Common Factor of 18642 and 18659?

Greatest common factor (GCF) of 18642 and 18659 is 1.

GCF(18642,18659) = 1

We will now calculate the prime factors of 18642 and 18659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18642 and 18659.

How to find the GCF of 18642 and 18659?

We will first find the prime factorization of 18642 and 18659. After we will calculate the factors of 18642 and 18659 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 18659

Prime factors of 18659 are 47, 397. Prime factorization of 18659 in exponential form is:

18659 = 47¹ × 397¹

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 18659

List of positive integer factors of 18659 that divides 18642 without a remainder.

1, 47, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18642 and 18659. The biggest common factor number is the GCF number.
So the greatest common factor 18642 and 18659 is 1.

Also check out the Least Common Multiple of 18642 and 18659