What is the Greatest Common Factor of 43641 and 43654?

Greatest common factor (GCF) of 43641 and 43654 is 13.

GCF(43641,43654) = 13

We will now calculate the prime factors of 43641 and 43654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43641 and 43654.

How to find the GCF of 43641 and 43654?

We will first find the prime factorization of 43641 and 43654. After we will calculate the factors of 43641 and 43654 and find the biggest common factor number .

Step-1: Prime Factorization of 43641

Prime factors of 43641 are 3, 13, 373. Prime factorization of 43641 in exponential form is:

43641 = 3² × 13¹ × 373¹

Step-2: Prime Factorization of 43654

Prime factors of 43654 are 2, 13, 23, 73. Prime factorization of 43654 in exponential form is:

43654 = 2¹ × 13¹ × 23¹ × 73¹

Step-3: Factors of 43641

List of positive integer factors of 43641 that divides 43641 without a remainder.

1, 3, 9, 13, 39, 117, 373, 1119, 3357, 4849, 14547

Step-4: Factors of 43654

List of positive integer factors of 43654 that divides 43641 without a remainder.

1, 2, 13, 23, 26, 46, 73, 146, 299, 598, 949, 1679, 1898, 3358, 21827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43641 and 43654. The biggest common factor number is the GCF number.
So the greatest common factor 43641 and 43654 is 13.

Also check out the Least Common Multiple of 43641 and 43654