What is the Greatest Common Factor of 18642 and 18657?

Greatest common factor (GCF) of 18642 and 18657 is 3.

GCF(18642,18657) = 3

We will now calculate the prime factors of 18642 and 18657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18642 and 18657.

How to find the GCF of 18642 and 18657?

We will first find the prime factorization of 18642 and 18657. After we will calculate the factors of 18642 and 18657 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 18657

Prime factors of 18657 are 3, 691. Prime factorization of 18657 in exponential form is:

18657 = 3³ × 691¹

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 18657

List of positive integer factors of 18657 that divides 18642 without a remainder.

1, 3, 9, 27, 691, 2073, 6219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18642 and 18657. The biggest common factor number is the GCF number.
So the greatest common factor 18642 and 18657 is 3.

Also check out the Least Common Multiple of 18642 and 18657