What is the Greatest Common Factor of 67509 and 67519?

Greatest common factor (GCF) of 67509 and 67519 is 1.

GCF(67509,67519) = 1

We will now calculate the prime factors of 67509 and 67519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67509 and 67519.

How to find the GCF of 67509 and 67519?

We will first find the prime factorization of 67509 and 67519. After we will calculate the factors of 67509 and 67519 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 67519

Prime factors of 67519 are 251, 269. Prime factorization of 67519 in exponential form is:

67519 = 251¹ × 269¹

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 67519

List of positive integer factors of 67519 that divides 67509 without a remainder.

1, 251, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67509 and 67519. The biggest common factor number is the GCF number.
So the greatest common factor 67509 and 67519 is 1.

Also check out the Least Common Multiple of 67509 and 67519