What is the Greatest Common Factor of 43043 and 43054?

Greatest common factor (GCF) of 43043 and 43054 is 11.

GCF(43043,43054) = 11

We will now calculate the prime factors of 43043 and 43054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43043 and 43054.

How to find the GCF of 43043 and 43054?

We will first find the prime factorization of 43043 and 43054. After we will calculate the factors of 43043 and 43054 and find the biggest common factor number .

Step-1: Prime Factorization of 43043

Prime factors of 43043 are 7, 11, 13, 43. Prime factorization of 43043 in exponential form is:

43043 = 7¹ × 11¹ × 13¹ × 43¹

Step-2: Prime Factorization of 43054

Prime factors of 43054 are 2, 11, 19, 103. Prime factorization of 43054 in exponential form is:

43054 = 2¹ × 11¹ × 19¹ × 103¹

Step-3: Factors of 43043

List of positive integer factors of 43043 that divides 43043 without a remainder.

1, 7, 11, 13, 43, 77, 91, 143, 301, 473, 559, 1001, 3311, 3913, 6149

Step-4: Factors of 43054

List of positive integer factors of 43054 that divides 43043 without a remainder.

1, 2, 11, 19, 22, 38, 103, 206, 209, 418, 1133, 1957, 2266, 3914, 21527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43043 and 43054. The biggest common factor number is the GCF number.
So the greatest common factor 43043 and 43054 is 11.

Also check out the Least Common Multiple of 43043 and 43054