What is the Greatest Common Factor of 67509 and 67521?

Greatest common factor (GCF) of 67509 and 67521 is 3.

GCF(67509,67521) = 3

We will now calculate the prime factors of 67509 and 67521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67509 and 67521.

How to find the GCF of 67509 and 67521?

We will first find the prime factorization of 67509 and 67521. After we will calculate the factors of 67509 and 67521 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 67521

Prime factors of 67521 are 3, 71, 317. Prime factorization of 67521 in exponential form is:

67521 = 3¹ × 71¹ × 317¹

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 67521

List of positive integer factors of 67521 that divides 67509 without a remainder.

1, 3, 71, 213, 317, 951, 22507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67509 and 67521. The biggest common factor number is the GCF number.
So the greatest common factor 67509 and 67521 is 3.

Also check out the Least Common Multiple of 67509 and 67521