What is the Greatest Common Factor of 43645 and 43654?

Greatest common factor (GCF) of 43645 and 43654 is 1.

GCF(43645,43654) = 1

We will now calculate the prime factors of 43645 and 43654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43645 and 43654.

How to find the GCF of 43645 and 43654?

We will first find the prime factorization of 43645 and 43654. After we will calculate the factors of 43645 and 43654 and find the biggest common factor number .

Step-1: Prime Factorization of 43645

Prime factors of 43645 are 5, 7, 29, 43. Prime factorization of 43645 in exponential form is:

43645 = 5¹ × 7¹ × 29¹ × 43¹

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 43645

List of positive integer factors of 43645 that divides 43645 without a remainder.

1, 5, 7, 29, 35, 43, 145, 203, 215, 301, 1015, 1247, 1505, 6235, 8729

Step-4: Factors of 43654

List of positive integer factors of 43654 that divides 43645 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 43645 and 43654. The biggest common factor number is the GCF number.
So the greatest common factor 43645 and 43654 is 1.

Also check out the Least Common Multiple of 43645 and 43654