What is the Greatest Common Factor of 67353 and 67359?

Greatest common factor (GCF) of 67353 and 67359 is 3.

GCF(67353,67359) = 3

We will now calculate the prime factors of 67353 and 67359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67353 and 67359.

How to find the GCF of 67353 and 67359?

We will first find the prime factorization of 67353 and 67359. After we will calculate the factors of 67353 and 67359 and find the biggest common factor number .

Step-1: Prime Factorization of 67353

Prime factors of 67353 are 3, 11, 13, 157. Prime factorization of 67353 in exponential form is:

67353 = 3¹ × 11¹ × 13¹ × 157¹

Step-2: Prime Factorization of 67359

Prime factors of 67359 are 3, 22453. Prime factorization of 67359 in exponential form is:

67359 = 3¹ × 22453¹

Step-3: Factors of 67353

List of positive integer factors of 67353 that divides 67353 without a remainder.

1, 3, 11, 13, 33, 39, 143, 157, 429, 471, 1727, 2041, 5181, 6123, 22451

Step-4: Factors of 67359

List of positive integer factors of 67359 that divides 67353 without a remainder.

1, 3, 22453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67353 and 67359. The biggest common factor number is the GCF number.
So the greatest common factor 67353 and 67359 is 3.

Also check out the Least Common Multiple of 67353 and 67359