What is the Greatest Common Factor of 43554 and 43568?

Greatest common factor (GCF) of 43554 and 43568 is 14.

GCF(43554,43568) = 14

We will now calculate the prime factors of 43554 and 43568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43554 and 43568.

How to find the GCF of 43554 and 43568?

We will first find the prime factorization of 43554 and 43568. After we will calculate the factors of 43554 and 43568 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 43568

Prime factors of 43568 are 2, 7, 389. Prime factorization of 43568 in exponential form is:

43568 = 2⁴ × 7¹ × 389¹

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 43568

List of positive integer factors of 43568 that divides 43554 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 21784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43554 and 43568. The biggest common factor number is the GCF number.
So the greatest common factor 43554 and 43568 is 14.

Also check out the Least Common Multiple of 43554 and 43568