What is the Greatest Common Factor of 43554 and 43563?

Greatest common factor (GCF) of 43554 and 43563 is 3.

GCF(43554,43563) = 3

We will now calculate the prime factors of 43554 and 43563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43554 and 43563.

How to find the GCF of 43554 and 43563?

We will first find the prime factorization of 43554 and 43563. After we will calculate the factors of 43554 and 43563 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 43563

Prime factors of 43563 are 3, 13, 1117. Prime factorization of 43563 in exponential form is:

43563 = 3¹ × 13¹ × 1117¹

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 43563

List of positive integer factors of 43563 that divides 43554 without a remainder.

1, 3, 13, 39, 1117, 3351, 14521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43554 and 43563. The biggest common factor number is the GCF number.
So the greatest common factor 43554 and 43563 is 3.

Also check out the Least Common Multiple of 43554 and 43563