What is the Greatest Common Factor of 43089 and 43102?

Greatest common factor (GCF) of 43089 and 43102 is 1.

GCF(43089,43102) = 1

We will now calculate the prime factors of 43089 and 43102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43089 and 43102.

How to find the GCF of 43089 and 43102?

We will first find the prime factorization of 43089 and 43102. After we will calculate the factors of 43089 and 43102 and find the biggest common factor number .

Step-1: Prime Factorization of 43089

Prime factors of 43089 are 3, 53, 271. Prime factorization of 43089 in exponential form is:

43089 = 3¹ × 53¹ × 271¹

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 43089

List of positive integer factors of 43089 that divides 43089 without a remainder.

1, 3, 53, 159, 271, 813, 14363

Step-4: Factors of 43102

List of positive integer factors of 43102 that divides 43089 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43089 and 43102. The biggest common factor number is the GCF number.
So the greatest common factor 43089 and 43102 is 1.

Also check out the Least Common Multiple of 43089 and 43102