What is the Greatest Common Factor of 67509 and 67527?

Greatest common factor (GCF) of 67509 and 67527 is 9.

GCF(67509,67527) = 9

We will now calculate the prime factors of 67509 and 67527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67509 and 67527.

How to find the GCF of 67509 and 67527?

We will first find the prime factorization of 67509 and 67527. After we will calculate the factors of 67509 and 67527 and find the biggest common factor number .

Step-1: Prime Factorization of 67509

Prime factors of 67509 are 3, 13, 577. Prime factorization of 67509 in exponential form is:

67509 = 3² × 13¹ × 577¹

Step-2: Prime Factorization of 67527

Prime factors of 67527 are 3, 41, 61. Prime factorization of 67527 in exponential form is:

67527 = 3³ × 41¹ × 61¹

Step-3: Factors of 67509

List of positive integer factors of 67509 that divides 67509 without a remainder.

1, 3, 9, 13, 39, 117, 577, 1731, 5193, 7501, 22503

Step-4: Factors of 67527

List of positive integer factors of 67527 that divides 67509 without a remainder.

1, 3, 9, 27, 41, 61, 123, 183, 369, 549, 1107, 1647, 2501, 7503, 22509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67509 and 67527. The biggest common factor number is the GCF number.
So the greatest common factor 67509 and 67527 is 9.

Also check out the Least Common Multiple of 67509 and 67527