What is the Greatest Common Factor of 43069 and 43082?

Greatest common factor (GCF) of 43069 and 43082 is 13.

GCF(43069,43082) = 13

We will now calculate the prime factors of 43069 and 43082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43069 and 43082.

How to find the GCF of 43069 and 43082?

We will first find the prime factorization of 43069 and 43082. After we will calculate the factors of 43069 and 43082 and find the biggest common factor number .

Step-1: Prime Factorization of 43069

Prime factors of 43069 are 13, 3313. Prime factorization of 43069 in exponential form is:

43069 = 13¹ × 3313¹

Step-2: Prime Factorization of 43082

Prime factors of 43082 are 2, 13, 1657. Prime factorization of 43082 in exponential form is:

43082 = 2¹ × 13¹ × 1657¹

Step-3: Factors of 43069

List of positive integer factors of 43069 that divides 43069 without a remainder.

1, 13, 3313

Step-4: Factors of 43082

List of positive integer factors of 43082 that divides 43069 without a remainder.

1, 2, 13, 26, 1657, 3314, 21541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43069 and 43082. The biggest common factor number is the GCF number.
So the greatest common factor 43069 and 43082 is 13.

Also check out the Least Common Multiple of 43069 and 43082