What is the Greatest Common Factor of 43654 and 43661?

Greatest common factor (GCF) of 43654 and 43661 is 1.

GCF(43654,43661) = 1

We will now calculate the prime factors of 43654 and 43661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43654 and 43661.

How to find the GCF of 43654 and 43661?

We will first find the prime factorization of 43654 and 43661. After we will calculate the factors of 43654 and 43661 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 43661

Prime factors of 43661 are 43661. Prime factorization of 43661 in exponential form is:

43661 = 43661¹

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 43661

List of positive integer factors of 43661 that divides 43654 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43654 and 43661. The biggest common factor number is the GCF number.
So the greatest common factor 43654 and 43661 is 1.

Also check out the Least Common Multiple of 43654 and 43661