What is the Greatest Common Factor of 40535 and 40540?

Greatest common factor (GCF) of 40535 and 40540 is 5.

GCF(40535,40540) = 5

We will now calculate the prime factors of 40535 and 40540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40535 and 40540.

How to find the GCF of 40535 and 40540?

We will first find the prime factorization of 40535 and 40540. After we will calculate the factors of 40535 and 40540 and find the biggest common factor number .

Step-1: Prime Factorization of 40535

Prime factors of 40535 are 5, 11, 67. Prime factorization of 40535 in exponential form is:

40535 = 5¹ × 11² × 67¹

Step-2: Prime Factorization of 40540

Prime factors of 40540 are 2, 5, 2027. Prime factorization of 40540 in exponential form is:

40540 = 2² × 5¹ × 2027¹

Step-3: Factors of 40535

List of positive integer factors of 40535 that divides 40535 without a remainder.

1, 5, 11, 55, 67, 121, 335, 605, 737, 3685, 8107

Step-4: Factors of 40540

List of positive integer factors of 40540 that divides 40535 without a remainder.

1, 2, 4, 5, 10, 20, 2027, 4054, 8108, 10135, 20270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40535 and 40540. The biggest common factor number is the GCF number.
So the greatest common factor 40535 and 40540 is 5.

Also check out the Least Common Multiple of 40535 and 40540