What is the Greatest Common Factor of 67497 and 67509?

Greatest common factor (GCF) of 67497 and 67509 is 3.

GCF(67497,67509) = 3

We will now calculate the prime factors of 67497 and 67509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67497 and 67509.

How to find the GCF of 67497 and 67509?

We will first find the prime factorization of 67497 and 67509. After we will calculate the factors of 67497 and 67509 and find the biggest common factor number .

Step-1: Prime Factorization of 67497

Prime factors of 67497 are 3, 149, 151. Prime factorization of 67497 in exponential form is:

67497 = 3¹ × 149¹ × 151¹

Step-2: 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-3: Factors of 67497

List of positive integer factors of 67497 that divides 67497 without a remainder.

1, 3, 149, 151, 447, 453, 22499

Step-4: Factors of 67509

List of positive integer factors of 67509 that divides 67497 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67497 and 67509. The biggest common factor number is the GCF number.
So the greatest common factor 67497 and 67509 is 3.

Also check out the Least Common Multiple of 67497 and 67509