What is the Greatest Common Factor of 41782 and 41798?

Greatest common factor (GCF) of 41782 and 41798 is 2.

GCF(41782,41798) = 2

We will now calculate the prime factors of 41782 and 41798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41782 and 41798.

How to find the GCF of 41782 and 41798?

We will first find the prime factorization of 41782 and 41798. After we will calculate the factors of 41782 and 41798 and find the biggest common factor number .

Step-1: Prime Factorization of 41782

Prime factors of 41782 are 2, 13, 1607. Prime factorization of 41782 in exponential form is:

41782 = 2¹ × 13¹ × 1607¹

Step-2: Prime Factorization of 41798

Prime factors of 41798 are 2, 20899. Prime factorization of 41798 in exponential form is:

41798 = 2¹ × 20899¹

Step-3: Factors of 41782

List of positive integer factors of 41782 that divides 41782 without a remainder.

1, 2, 13, 26, 1607, 3214, 20891

Step-4: Factors of 41798

List of positive integer factors of 41798 that divides 41782 without a remainder.

1, 2, 20899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41782 and 41798. The biggest common factor number is the GCF number.
So the greatest common factor 41782 and 41798 is 2.

Also check out the Least Common Multiple of 41782 and 41798