What is the Greatest Common Factor of 40515 and 40535?

Greatest common factor (GCF) of 40515 and 40535 is 5.

GCF(40515,40535) = 5

We will now calculate the prime factors of 40515 and 40535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40515 and 40535.

How to find the GCF of 40515 and 40535?

We will first find the prime factorization of 40515 and 40535. After we will calculate the factors of 40515 and 40535 and find the biggest common factor number .

Step-1: Prime Factorization of 40515

Prime factors of 40515 are 3, 5, 37, 73. Prime factorization of 40515 in exponential form is:

40515 = 3¹ × 5¹ × 37¹ × 73¹

Step-2: 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-3: Factors of 40515

List of positive integer factors of 40515 that divides 40515 without a remainder.

1, 3, 5, 15, 37, 73, 111, 185, 219, 365, 555, 1095, 2701, 8103, 13505

Step-4: Factors of 40535

List of positive integer factors of 40535 that divides 40515 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40515 and 40535. The biggest common factor number is the GCF number.
So the greatest common factor 40515 and 40535 is 5.

Also check out the Least Common Multiple of 40515 and 40535