What is the Greatest Common Factor of 18643 and 18662?

Greatest common factor (GCF) of 18643 and 18662 is 1.

GCF(18643,18662) = 1

We will now calculate the prime factors of 18643 and 18662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18643 and 18662.

How to find the GCF of 18643 and 18662?

We will first find the prime factorization of 18643 and 18662. After we will calculate the factors of 18643 and 18662 and find the biggest common factor number .

Step-1: Prime Factorization of 18643

Prime factors of 18643 are 103, 181. Prime factorization of 18643 in exponential form is:

18643 = 103¹ × 181¹

Step-2: Prime Factorization of 18662

Prime factors of 18662 are 2, 7, 31, 43. Prime factorization of 18662 in exponential form is:

18662 = 2¹ × 7¹ × 31¹ × 43¹

Step-3: Factors of 18643

List of positive integer factors of 18643 that divides 18643 without a remainder.

1, 103, 181

Step-4: Factors of 18662

List of positive integer factors of 18662 that divides 18643 without a remainder.

1, 2, 7, 14, 31, 43, 62, 86, 217, 301, 434, 602, 1333, 2666, 9331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18643 and 18662. The biggest common factor number is the GCF number.
So the greatest common factor 18643 and 18662 is 1.

Also check out the Least Common Multiple of 18643 and 18662