What is the Greatest Common Factor of 43659 and 43677?

Greatest common factor (GCF) of 43659 and 43677 is 9.

GCF(43659,43677) = 9

We will now calculate the prime factors of 43659 and 43677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43659 and 43677.

How to find the GCF of 43659 and 43677?

We will first find the prime factorization of 43659 and 43677. After we will calculate the factors of 43659 and 43677 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43677

Prime factors of 43677 are 3, 23, 211. Prime factorization of 43677 in exponential form is:

43677 = 3² × 23¹ × 211¹

Step-3: Factors of 43659

List of positive integer factors of 43659 that divides 43659 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

Step-4: Factors of 43677

List of positive integer factors of 43677 that divides 43659 without a remainder.

1, 3, 9, 23, 69, 207, 211, 633, 1899, 4853, 14559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43659 and 43677. The biggest common factor number is the GCF number.
So the greatest common factor 43659 and 43677 is 9.

Also check out the Least Common Multiple of 43659 and 43677