What is the Greatest Common Factor of 41782 and 41791?

Greatest common factor (GCF) of 41782 and 41791 is 1.

GCF(41782,41791) = 1

We will now calculate the prime factors of 41782 and 41791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41782 and 41791.

How to find the GCF of 41782 and 41791?

We will first find the prime factorization of 41782 and 41791. After we will calculate the factors of 41782 and 41791 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 41791

Prime factors of 41791 are 23, 79. Prime factorization of 41791 in exponential form is:

41791 = 23² × 79¹

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 41791

List of positive integer factors of 41791 that divides 41782 without a remainder.

1, 23, 79, 529, 1817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41782 and 41791. The biggest common factor number is the GCF number.
So the greatest common factor 41782 and 41791 is 1.

Also check out the Least Common Multiple of 41782 and 41791