What is the Greatest Common Factor of 13072 and 13082?

Greatest common factor (GCF) of 13072 and 13082 is 2.

GCF(13072,13082) = 2

We will now calculate the prime factors of 13072 and 13082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13072 and 13082.

How to find the GCF of 13072 and 13082?

We will first find the prime factorization of 13072 and 13082. After we will calculate the factors of 13072 and 13082 and find the biggest common factor number .

Step-1: Prime Factorization of 13072

Prime factors of 13072 are 2, 19, 43. Prime factorization of 13072 in exponential form is:

13072 = 2⁴ × 19¹ × 43¹

Step-2: Prime Factorization of 13082

Prime factors of 13082 are 2, 31, 211. Prime factorization of 13082 in exponential form is:

13082 = 2¹ × 31¹ × 211¹

Step-3: Factors of 13072

List of positive integer factors of 13072 that divides 13072 without a remainder.

1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536

Step-4: Factors of 13082

List of positive integer factors of 13082 that divides 13072 without a remainder.

1, 2, 31, 62, 211, 422, 6541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13072 and 13082. The biggest common factor number is the GCF number.
So the greatest common factor 13072 and 13082 is 2.

Also check out the Least Common Multiple of 13072 and 13082