What is the Greatest Common Factor of 40580 and 40585?

Greatest common factor (GCF) of 40580 and 40585 is 5.

GCF(40580,40585) = 5

We will now calculate the prime factors of 40580 and 40585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40580 and 40585.

How to find the GCF of 40580 and 40585?

We will first find the prime factorization of 40580 and 40585. After we will calculate the factors of 40580 and 40585 and find the biggest common factor number .

Step-1: Prime Factorization of 40580

Prime factors of 40580 are 2, 5, 2029. Prime factorization of 40580 in exponential form is:

40580 = 2² × 5¹ × 2029¹

Step-2: Prime Factorization of 40585

Prime factors of 40585 are 5, 8117. Prime factorization of 40585 in exponential form is:

40585 = 5¹ × 8117¹

Step-3: Factors of 40580

List of positive integer factors of 40580 that divides 40580 without a remainder.

1, 2, 4, 5, 10, 20, 2029, 4058, 8116, 10145, 20290

Step-4: Factors of 40585

List of positive integer factors of 40585 that divides 40580 without a remainder.

1, 5, 8117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40580 and 40585. The biggest common factor number is the GCF number.
So the greatest common factor 40580 and 40585 is 5.

Also check out the Least Common Multiple of 40580 and 40585