What is the Greatest Common Factor of 41045 and 41065?

Greatest common factor (GCF) of 41045 and 41065 is 5.

GCF(41045,41065) = 5

We will now calculate the prime factors of 41045 and 41065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41045 and 41065.

How to find the GCF of 41045 and 41065?

We will first find the prime factorization of 41045 and 41065. After we will calculate the factors of 41045 and 41065 and find the biggest common factor number .

Step-1: Prime Factorization of 41045

Prime factors of 41045 are 5, 8209. Prime factorization of 41045 in exponential form is:

41045 = 5¹ × 8209¹

Step-2: Prime Factorization of 41065

Prime factors of 41065 are 5, 43, 191. Prime factorization of 41065 in exponential form is:

41065 = 5¹ × 43¹ × 191¹

Step-3: Factors of 41045

List of positive integer factors of 41045 that divides 41045 without a remainder.

1, 5, 8209

Step-4: Factors of 41065

List of positive integer factors of 41065 that divides 41045 without a remainder.

1, 5, 43, 191, 215, 955, 8213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41045 and 41065. The biggest common factor number is the GCF number.
So the greatest common factor 41045 and 41065 is 5.

Also check out the Least Common Multiple of 41045 and 41065