What is the Greatest Common Factor of 67509 and 67528?

Greatest common factor (GCF) of 67509 and 67528 is 1.

GCF(67509,67528) = 1

We will now calculate the prime factors of 67509 and 67528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67509 and 67528.

How to find the GCF of 67509 and 67528?

We will first find the prime factorization of 67509 and 67528. After we will calculate the factors of 67509 and 67528 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 67528

Prime factors of 67528 are 2, 23, 367. Prime factorization of 67528 in exponential form is:

67528 = 2³ × 23¹ × 367¹

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 67528

List of positive integer factors of 67528 that divides 67509 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 367, 734, 1468, 2936, 8441, 16882, 33764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67509 and 67528. The biggest common factor number is the GCF number.
So the greatest common factor 67509 and 67528 is 1.

Also check out the Least Common Multiple of 67509 and 67528