What is the Greatest Common Factor of 41766 and 41782?

Greatest common factor (GCF) of 41766 and 41782 is 2.

GCF(41766,41782) = 2

We will now calculate the prime factors of 41766 and 41782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41766 and 41782.

How to find the GCF of 41766 and 41782?

We will first find the prime factorization of 41766 and 41782. After we will calculate the factors of 41766 and 41782 and find the biggest common factor number .

Step-1: Prime Factorization of 41766

Prime factors of 41766 are 2, 3, 6961. Prime factorization of 41766 in exponential form is:

41766 = 2¹ × 3¹ × 6961¹

Step-2: 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-3: Factors of 41766

List of positive integer factors of 41766 that divides 41766 without a remainder.

1, 2, 3, 6, 6961, 13922, 20883

Step-4: Factors of 41782

List of positive integer factors of 41782 that divides 41766 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41766 and 41782. The biggest common factor number is the GCF number.
So the greatest common factor 41766 and 41782 is 2.

Also check out the Least Common Multiple of 41766 and 41782