What is the Greatest Common Factor of 67353 and 67362?

Greatest common factor (GCF) of 67353 and 67362 is 3.

GCF(67353,67362) = 3

We will now calculate the prime factors of 67353 and 67362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67353 and 67362.

How to find the GCF of 67353 and 67362?

We will first find the prime factorization of 67353 and 67362. After we will calculate the factors of 67353 and 67362 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 67362

Prime factors of 67362 are 2, 3, 103, 109. Prime factorization of 67362 in exponential form is:

67362 = 2¹ × 3¹ × 103¹ × 109¹

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 67362

List of positive integer factors of 67362 that divides 67353 without a remainder.

1, 2, 3, 6, 103, 109, 206, 218, 309, 327, 618, 654, 11227, 22454, 33681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67353 and 67362. The biggest common factor number is the GCF number.
So the greatest common factor 67353 and 67362 is 3.

Also check out the Least Common Multiple of 67353 and 67362