What is the Greatest Common Factor of 41895 and 41913?

Greatest common factor (GCF) of 41895 and 41913 is 9.

GCF(41895,41913) = 9

We will now calculate the prime factors of 41895 and 41913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41895 and 41913.

How to find the GCF of 41895 and 41913?

We will first find the prime factorization of 41895 and 41913. After we will calculate the factors of 41895 and 41913 and find the biggest common factor number .

Step-1: Prime Factorization of 41895

Prime factors of 41895 are 3, 5, 7, 19. Prime factorization of 41895 in exponential form is:

41895 = 3² × 5¹ × 7² × 19¹

Step-2: Prime Factorization of 41913

Prime factors of 41913 are 3, 4657. Prime factorization of 41913 in exponential form is:

41913 = 3² × 4657¹

Step-3: Factors of 41895

List of positive integer factors of 41895 that divides 41895 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 49, 57, 63, 95, 105, 133, 147, 171, 245, 285, 315, 399, 441, 665, 735, 855, 931, 1197, 1995, 2205, 2793, 4655, 5985, 8379, 13965

Step-4: Factors of 41913

List of positive integer factors of 41913 that divides 41895 without a remainder.

1, 3, 9, 4657, 13971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41895 and 41913. The biggest common factor number is the GCF number.
So the greatest common factor 41895 and 41913 is 9.

Also check out the Least Common Multiple of 41895 and 41913