What is the Greatest Common Factor of 41809 and 41825?

Greatest common factor (GCF) of 41809 and 41825 is 1.

GCF(41809,41825) = 1

We will now calculate the prime factors of 41809 and 41825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41809 and 41825.

How to find the GCF of 41809 and 41825?

We will first find the prime factorization of 41809 and 41825. After we will calculate the factors of 41809 and 41825 and find the biggest common factor number .

Step-1: Prime Factorization of 41809

Prime factors of 41809 are 41809. Prime factorization of 41809 in exponential form is:

41809 = 41809¹

Step-2: Prime Factorization of 41825

Prime factors of 41825 are 5, 7, 239. Prime factorization of 41825 in exponential form is:

41825 = 5² × 7¹ × 239¹

Step-3: Factors of 41809

List of positive integer factors of 41809 that divides 41809 without a remainder.

Step-4: Factors of 41825

List of positive integer factors of 41825 that divides 41809 without a remainder.

1, 5, 7, 25, 35, 175, 239, 1195, 1673, 5975, 8365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41809 and 41825. The biggest common factor number is the GCF number.
So the greatest common factor 41809 and 41825 is 1.

Also check out the Least Common Multiple of 41809 and 41825