What is the Greatest Common Factor of 43643 and 43659?

Greatest common factor (GCF) of 43643 and 43659 is 1.

GCF(43643,43659) = 1

We will now calculate the prime factors of 43643 and 43659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43643 and 43659.

How to find the GCF of 43643 and 43659?

We will first find the prime factorization of 43643 and 43659. After we will calculate the factors of 43643 and 43659 and find the biggest common factor number .

Step-1: Prime Factorization of 43643

Prime factors of 43643 are 19, 2297. Prime factorization of 43643 in exponential form is:

43643 = 19¹ × 2297¹

Step-2: Prime Factorization of 43659

Prime factors of 43659 are 3, 7, 11. Prime factorization of 43659 in exponential form is:

43659 = 3⁴ × 7² × 11¹

Step-3: Factors of 43643

List of positive integer factors of 43643 that divides 43643 without a remainder.

1, 19, 2297

Step-4: Factors of 43659

List of positive integer factors of 43659 that divides 43643 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 49, 63, 77, 81, 99, 147, 189, 231, 297, 441, 539, 567, 693, 891, 1323, 1617, 2079, 3969, 4851, 6237, 14553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43643 and 43659. The biggest common factor number is the GCF number.
So the greatest common factor 43643 and 43659 is 1.

Also check out the Least Common Multiple of 43643 and 43659