What is the Greatest Common Factor of 43654 and 43667?

Greatest common factor (GCF) of 43654 and 43667 is 13.

GCF(43654,43667) = 13

We will now calculate the prime factors of 43654 and 43667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43654 and 43667.

How to find the GCF of 43654 and 43667?

We will first find the prime factorization of 43654 and 43667. After we will calculate the factors of 43654 and 43667 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43667

Prime factors of 43667 are 13, 3359. Prime factorization of 43667 in exponential form is:

43667 = 13¹ × 3359¹

Step-3: Factors of 43654

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

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

Step-4: Factors of 43667

List of positive integer factors of 43667 that divides 43654 without a remainder.

1, 13, 3359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43654 and 43667. The biggest common factor number is the GCF number.
So the greatest common factor 43654 and 43667 is 13.

Also check out the Least Common Multiple of 43654 and 43667