What is the Greatest Common Factor of 43036 and 43042?

Greatest common factor (GCF) of 43036 and 43042 is 2.

GCF(43036,43042) = 2

We will now calculate the prime factors of 43036 and 43042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43036 and 43042.

How to find the GCF of 43036 and 43042?

We will first find the prime factorization of 43036 and 43042. After we will calculate the factors of 43036 and 43042 and find the biggest common factor number .

Step-1: Prime Factorization of 43036

Prime factors of 43036 are 2, 7, 29, 53. Prime factorization of 43036 in exponential form is:

43036 = 2² × 7¹ × 29¹ × 53¹

Step-2: Prime Factorization of 43042

Prime factors of 43042 are 2, 21521. Prime factorization of 43042 in exponential form is:

43042 = 2¹ × 21521¹

Step-3: Factors of 43036

List of positive integer factors of 43036 that divides 43036 without a remainder.

1, 2, 4, 7, 14, 28, 29, 53, 58, 106, 116, 203, 212, 371, 406, 742, 812, 1484, 1537, 3074, 6148, 10759, 21518

Step-4: Factors of 43042

List of positive integer factors of 43042 that divides 43036 without a remainder.

1, 2, 21521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43036 and 43042. The biggest common factor number is the GCF number.
So the greatest common factor 43036 and 43042 is 2.

Also check out the Least Common Multiple of 43036 and 43042