What is the Greatest Common Factor of 41825 and 41845?

Greatest common factor (GCF) of 41825 and 41845 is 5.

GCF(41825,41845) = 5

We will now calculate the prime factors of 41825 and 41845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41825 and 41845.

How to find the GCF of 41825 and 41845?

We will first find the prime factorization of 41825 and 41845. After we will calculate the factors of 41825 and 41845 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41845

Prime factors of 41845 are 5, 8369. Prime factorization of 41845 in exponential form is:

41845 = 5¹ × 8369¹

Step-3: Factors of 41825

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

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

Step-4: Factors of 41845

List of positive integer factors of 41845 that divides 41825 without a remainder.

1, 5, 8369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41825 and 41845. The biggest common factor number is the GCF number.
So the greatest common factor 41825 and 41845 is 5.

Also check out the Least Common Multiple of 41825 and 41845