What is the Greatest Common Factor of 41782 and 41788?

Greatest common factor (GCF) of 41782 and 41788 is 2.

GCF(41782,41788) = 2

We will now calculate the prime factors of 41782 and 41788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41782 and 41788.

How to find the GCF of 41782 and 41788?

We will first find the prime factorization of 41782 and 41788. After we will calculate the factors of 41782 and 41788 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 41788

Prime factors of 41788 are 2, 31, 337. Prime factorization of 41788 in exponential form is:

41788 = 2² × 31¹ × 337¹

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 41788

List of positive integer factors of 41788 that divides 41782 without a remainder.

1, 2, 4, 31, 62, 124, 337, 674, 1348, 10447, 20894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41782 and 41788. The biggest common factor number is the GCF number.
So the greatest common factor 41782 and 41788 is 2.

Also check out the Least Common Multiple of 41782 and 41788