What is the Greatest Common Factor of 82738 and 82742?

Greatest common factor (GCF) of 82738 and 82742 is 2.

GCF(82738,82742) = 2

We will now calculate the prime factors of 82738 and 82742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82738 and 82742.

How to find the GCF of 82738 and 82742?

We will first find the prime factorization of 82738 and 82742. After we will calculate the factors of 82738 and 82742 and find the biggest common factor number .

Step-1: Prime Factorization of 82738

Prime factors of 82738 are 2, 41, 1009. Prime factorization of 82738 in exponential form is:

82738 = 2¹ × 41¹ × 1009¹

Step-2: Prime Factorization of 82742

Prime factors of 82742 are 2, 11, 3761. Prime factorization of 82742 in exponential form is:

82742 = 2¹ × 11¹ × 3761¹

Step-3: Factors of 82738

List of positive integer factors of 82738 that divides 82738 without a remainder.

1, 2, 41, 82, 1009, 2018, 41369

Step-4: Factors of 82742

List of positive integer factors of 82742 that divides 82738 without a remainder.

1, 2, 11, 22, 3761, 7522, 41371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82738 and 82742. The biggest common factor number is the GCF number.
So the greatest common factor 82738 and 82742 is 2.

Also check out the Least Common Multiple of 82738 and 82742