What is the Greatest Common Factor of 43038 and 43058?

Greatest common factor (GCF) of 43038 and 43058 is 2.

GCF(43038,43058) = 2

We will now calculate the prime factors of 43038 and 43058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43038 and 43058.

How to find the GCF of 43038 and 43058?

We will first find the prime factorization of 43038 and 43058. After we will calculate the factors of 43038 and 43058 and find the biggest common factor number .

Step-1: Prime Factorization of 43038

Prime factors of 43038 are 2, 3, 797. Prime factorization of 43038 in exponential form is:

43038 = 2¹ × 3³ × 797¹

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 43038

List of positive integer factors of 43038 that divides 43038 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 797, 1594, 2391, 4782, 7173, 14346, 21519

Step-4: Factors of 43058

List of positive integer factors of 43058 that divides 43038 without a remainder.

1, 2, 21529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43038 and 43058. The biggest common factor number is the GCF number.
So the greatest common factor 43038 and 43058 is 2.

Also check out the Least Common Multiple of 43038 and 43058