What is the Greatest Common Factor of 41775 and 41781?

Greatest common factor (GCF) of 41775 and 41781 is 3.

GCF(41775,41781) = 3

We will now calculate the prime factors of 41775 and 41781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41775 and 41781.

How to find the GCF of 41775 and 41781?

We will first find the prime factorization of 41775 and 41781. After we will calculate the factors of 41775 and 41781 and find the biggest common factor number .

Step-1: Prime Factorization of 41775

Prime factors of 41775 are 3, 5, 557. Prime factorization of 41775 in exponential form is:

41775 = 3¹ × 5² × 557¹

Step-2: Prime Factorization of 41781

Prime factors of 41781 are 3, 19, 733. Prime factorization of 41781 in exponential form is:

41781 = 3¹ × 19¹ × 733¹

Step-3: Factors of 41775

List of positive integer factors of 41775 that divides 41775 without a remainder.

1, 3, 5, 15, 25, 75, 557, 1671, 2785, 8355, 13925

Step-4: Factors of 41781

List of positive integer factors of 41781 that divides 41775 without a remainder.

1, 3, 19, 57, 733, 2199, 13927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41775 and 41781. The biggest common factor number is the GCF number.
So the greatest common factor 41775 and 41781 is 3.

Also check out the Least Common Multiple of 41775 and 41781