What is the Greatest Common Factor of 40509 and 40527?

Greatest common factor (GCF) of 40509 and 40527 is 9.

GCF(40509,40527) = 9

We will now calculate the prime factors of 40509 and 40527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40509 and 40527.

How to find the GCF of 40509 and 40527?

We will first find the prime factorization of 40509 and 40527. After we will calculate the factors of 40509 and 40527 and find the biggest common factor number .

Step-1: Prime Factorization of 40509

Prime factors of 40509 are 3, 7, 643. Prime factorization of 40509 in exponential form is:

40509 = 3² × 7¹ × 643¹

Step-2: Prime Factorization of 40527

Prime factors of 40527 are 3, 19, 79. Prime factorization of 40527 in exponential form is:

40527 = 3³ × 19¹ × 79¹

Step-3: Factors of 40509

List of positive integer factors of 40509 that divides 40509 without a remainder.

1, 3, 7, 9, 21, 63, 643, 1929, 4501, 5787, 13503

Step-4: Factors of 40527

List of positive integer factors of 40527 that divides 40509 without a remainder.

1, 3, 9, 19, 27, 57, 79, 171, 237, 513, 711, 1501, 2133, 4503, 13509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40509 and 40527. The biggest common factor number is the GCF number.
So the greatest common factor 40509 and 40527 is 9.

Also check out the Least Common Multiple of 40509 and 40527