What is the Greatest Common Factor of 43044 and 43058?

Greatest common factor (GCF) of 43044 and 43058 is 2.

GCF(43044,43058) = 2

We will now calculate the prime factors of 43044 and 43058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43044 and 43058.

How to find the GCF of 43044 and 43058?

We will first find the prime factorization of 43044 and 43058. After we will calculate the factors of 43044 and 43058 and find the biggest common factor number .

Step-1: Prime Factorization of 43044

Prime factors of 43044 are 2, 3, 17, 211. Prime factorization of 43044 in exponential form is:

43044 = 2² × 3¹ × 17¹ × 211¹

Step-2: Prime Factorization of 43058

Prime factors of 43058 are 2, 21529. Prime factorization of 43058 in exponential form is:

43058 = 2¹ × 21529¹

Step-3: Factors of 43044

List of positive integer factors of 43044 that divides 43044 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 211, 422, 633, 844, 1266, 2532, 3587, 7174, 10761, 14348, 21522

Step-4: Factors of 43058

List of positive integer factors of 43058 that divides 43044 without a remainder.

1, 2, 21529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43044 and 43058. The biggest common factor number is the GCF number.
So the greatest common factor 43044 and 43058 is 2.

Also check out the Least Common Multiple of 43044 and 43058