What is the Greatest Common Factor of 43084 and 43102?

Greatest common factor (GCF) of 43084 and 43102 is 2.

GCF(43084,43102) = 2

We will now calculate the prime factors of 43084 and 43102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43084 and 43102.

How to find the GCF of 43084 and 43102?

We will first find the prime factorization of 43084 and 43102. After we will calculate the factors of 43084 and 43102 and find the biggest common factor number .

Step-1: Prime Factorization of 43084

Prime factors of 43084 are 2, 10771. Prime factorization of 43084 in exponential form is:

43084 = 2² × 10771¹

Step-2: Prime Factorization of 43102

Prime factors of 43102 are 2, 23, 937. Prime factorization of 43102 in exponential form is:

43102 = 2¹ × 23¹ × 937¹

Step-3: Factors of 43084

List of positive integer factors of 43084 that divides 43084 without a remainder.

1, 2, 4, 10771, 21542

Step-4: Factors of 43102

List of positive integer factors of 43102 that divides 43084 without a remainder.

1, 2, 23, 46, 937, 1874, 21551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43084 and 43102. The biggest common factor number is the GCF number.
So the greatest common factor 43084 and 43102 is 2.

Also check out the Least Common Multiple of 43084 and 43102