What is the Greatest Common Factor of 40995 and 41001?

Greatest common factor (GCF) of 40995 and 41001 is 3.

GCF(40995,41001) = 3

We will now calculate the prime factors of 40995 and 41001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40995 and 41001.

How to find the GCF of 40995 and 41001?

We will first find the prime factorization of 40995 and 41001. After we will calculate the factors of 40995 and 41001 and find the biggest common factor number .

Step-1: Prime Factorization of 40995

Prime factors of 40995 are 3, 5, 911. Prime factorization of 40995 in exponential form is:

40995 = 3² × 5¹ × 911¹

Step-2: Prime Factorization of 41001

Prime factors of 41001 are 3, 79, 173. Prime factorization of 41001 in exponential form is:

41001 = 3¹ × 79¹ × 173¹

Step-3: Factors of 40995

List of positive integer factors of 40995 that divides 40995 without a remainder.

1, 3, 5, 9, 15, 45, 911, 2733, 4555, 8199, 13665

Step-4: Factors of 41001

List of positive integer factors of 41001 that divides 40995 without a remainder.

1, 3, 79, 173, 237, 519, 13667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40995 and 41001. The biggest common factor number is the GCF number.
So the greatest common factor 40995 and 41001 is 3.

Also check out the Least Common Multiple of 40995 and 41001