What is the Greatest Common Factor of 41605 and 41620?

Greatest common factor (GCF) of 41605 and 41620 is 5.

GCF(41605,41620) = 5

We will now calculate the prime factors of 41605 and 41620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41605 and 41620.

How to find the GCF of 41605 and 41620?

We will first find the prime factorization of 41605 and 41620. After we will calculate the factors of 41605 and 41620 and find the biggest common factor number .

Step-1: Prime Factorization of 41605

Prime factors of 41605 are 5, 53, 157. Prime factorization of 41605 in exponential form is:

41605 = 5¹ × 53¹ × 157¹

Step-2: Prime Factorization of 41620

Prime factors of 41620 are 2, 5, 2081. Prime factorization of 41620 in exponential form is:

41620 = 2² × 5¹ × 2081¹

Step-3: Factors of 41605

List of positive integer factors of 41605 that divides 41605 without a remainder.

1, 5, 53, 157, 265, 785, 8321

Step-4: Factors of 41620

List of positive integer factors of 41620 that divides 41605 without a remainder.

1, 2, 4, 5, 10, 20, 2081, 4162, 8324, 10405, 20810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41605 and 41620. The biggest common factor number is the GCF number.
So the greatest common factor 41605 and 41620 is 5.

Also check out the Least Common Multiple of 41605 and 41620