What is the Greatest Common Factor of 43554 and 43571?

Greatest common factor (GCF) of 43554 and 43571 is 17.

GCF(43554,43571) = 17

We will now calculate the prime factors of 43554 and 43571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43554 and 43571.

How to find the GCF of 43554 and 43571?

We will first find the prime factorization of 43554 and 43571. After we will calculate the factors of 43554 and 43571 and find the biggest common factor number .

Step-1: Prime Factorization of 43554

Prime factors of 43554 are 2, 3, 7, 17, 61. Prime factorization of 43554 in exponential form is:

43554 = 2¹ × 3¹ × 7¹ × 17¹ × 61¹

Step-2: Prime Factorization of 43571

Prime factors of 43571 are 11, 17, 233. Prime factorization of 43571 in exponential form is:

43571 = 11¹ × 17¹ × 233¹

Step-3: Factors of 43554

List of positive integer factors of 43554 that divides 43554 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 61, 102, 119, 122, 183, 238, 357, 366, 427, 714, 854, 1037, 1281, 2074, 2562, 3111, 6222, 7259, 14518, 21777

Step-4: Factors of 43571

List of positive integer factors of 43571 that divides 43554 without a remainder.

1, 11, 17, 187, 233, 2563, 3961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43554 and 43571. The biggest common factor number is the GCF number.
So the greatest common factor 43554 and 43571 is 17.

Also check out the Least Common Multiple of 43554 and 43571