What is the Greatest Common Factor of 43554 and 43562?

Greatest common factor (GCF) of 43554 and 43562 is 2.

GCF(43554,43562) = 2

We will now calculate the prime factors of 43554 and 43562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43554 and 43562.

How to find the GCF of 43554 and 43562?

We will first find the prime factorization of 43554 and 43562. After we will calculate the factors of 43554 and 43562 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 43562

Prime factors of 43562 are 2, 23, 947. Prime factorization of 43562 in exponential form is:

43562 = 2¹ × 23¹ × 947¹

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 43562

List of positive integer factors of 43562 that divides 43554 without a remainder.

1, 2, 23, 46, 947, 1894, 21781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43554 and 43562. The biggest common factor number is the GCF number.
So the greatest common factor 43554 and 43562 is 2.

Also check out the Least Common Multiple of 43554 and 43562