What is the Greatest Common Factor of 67521 and 67539?

Greatest common factor (GCF) of 67521 and 67539 is 3.

GCF(67521,67539) = 3

We will now calculate the prime factors of 67521 and 67539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67521 and 67539.

How to find the GCF of 67521 and 67539?

We will first find the prime factorization of 67521 and 67539. After we will calculate the factors of 67521 and 67539 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67539

Prime factors of 67539 are 3, 47, 479. Prime factorization of 67539 in exponential form is:

67539 = 3¹ × 47¹ × 479¹

Step-3: Factors of 67521

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

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

Step-4: Factors of 67539

List of positive integer factors of 67539 that divides 67521 without a remainder.

1, 3, 47, 141, 479, 1437, 22513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67521 and 67539. The biggest common factor number is the GCF number.
So the greatest common factor 67521 and 67539 is 3.

Also check out the Least Common Multiple of 67521 and 67539