What is the Greatest Common Factor of 4069 and 4082?

Greatest common factor (GCF) of 4069 and 4082 is 13.

GCF(4069,4082) = 13

We will now calculate the prime factors of 4069 and 4082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4069 and 4082.

How to find the GCF of 4069 and 4082?

We will first find the prime factorization of 4069 and 4082. After we will calculate the factors of 4069 and 4082 and find the biggest common factor number .

Step-1: Prime Factorization of 4069

Prime factors of 4069 are 13, 313. Prime factorization of 4069 in exponential form is:

4069 = 13¹ × 313¹

Step-2: Prime Factorization of 4082

Prime factors of 4082 are 2, 13, 157. Prime factorization of 4082 in exponential form is:

4082 = 2¹ × 13¹ × 157¹

Step-3: Factors of 4069

List of positive integer factors of 4069 that divides 4069 without a remainder.

1, 13, 313

Step-4: Factors of 4082

List of positive integer factors of 4082 that divides 4069 without a remainder.

1, 2, 13, 26, 157, 314, 2041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4069 and 4082. The biggest common factor number is the GCF number.
So the greatest common factor 4069 and 4082 is 13.

Also check out the Least Common Multiple of 4069 and 4082