What is the Greatest Common Factor of 40509 and 40528?

Greatest common factor (GCF) of 40509 and 40528 is 1.

GCF(40509,40528) = 1

We will now calculate the prime factors of 40509 and 40528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40509 and 40528.

How to find the GCF of 40509 and 40528?

We will first find the prime factorization of 40509 and 40528. After we will calculate the factors of 40509 and 40528 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 40528

Prime factors of 40528 are 2, 17, 149. Prime factorization of 40528 in exponential form is:

40528 = 2⁴ × 17¹ × 149¹

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 40528

List of positive integer factors of 40528 that divides 40509 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 149, 272, 298, 596, 1192, 2384, 2533, 5066, 10132, 20264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40509 and 40528. The biggest common factor number is the GCF number.
So the greatest common factor 40509 and 40528 is 1.

Also check out the Least Common Multiple of 40509 and 40528