What is the Greatest Common Factor of 82069 and 82082?

Greatest common factor (GCF) of 82069 and 82082 is 13.

GCF(82069,82082) = 13

We will now calculate the prime factors of 82069 and 82082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82069 and 82082.

How to find the GCF of 82069 and 82082?

We will first find the prime factorization of 82069 and 82082. After we will calculate the factors of 82069 and 82082 and find the biggest common factor number .

Step-1: Prime Factorization of 82069

Prime factors of 82069 are 13, 59, 107. Prime factorization of 82069 in exponential form is:

82069 = 13¹ × 59¹ × 107¹

Step-2: Prime Factorization of 82082

Prime factors of 82082 are 2, 7, 11, 13, 41. Prime factorization of 82082 in exponential form is:

82082 = 2¹ × 7¹ × 11¹ × 13¹ × 41¹

Step-3: Factors of 82069

List of positive integer factors of 82069 that divides 82069 without a remainder.

1, 13, 59, 107, 767, 1391, 6313

Step-4: Factors of 82082

List of positive integer factors of 82082 that divides 82069 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 41, 77, 82, 91, 143, 154, 182, 286, 287, 451, 533, 574, 902, 1001, 1066, 2002, 3157, 3731, 5863, 6314, 7462, 11726, 41041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82069 and 82082. The biggest common factor number is the GCF number.
So the greatest common factor 82069 and 82082 is 13.

Also check out the Least Common Multiple of 82069 and 82082