What is the Greatest Common Factor of 67353 and 67366?

Greatest common factor (GCF) of 67353 and 67366 is 13.

GCF(67353,67366) = 13

We will now calculate the prime factors of 67353 and 67366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67353 and 67366.

How to find the GCF of 67353 and 67366?

We will first find the prime factorization of 67353 and 67366. After we will calculate the factors of 67353 and 67366 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 67366

Prime factors of 67366 are 2, 13, 2591. Prime factorization of 67366 in exponential form is:

67366 = 2¹ × 13¹ × 2591¹

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 67366

List of positive integer factors of 67366 that divides 67353 without a remainder.

1, 2, 13, 26, 2591, 5182, 33683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67353 and 67366. The biggest common factor number is the GCF number.
So the greatest common factor 67353 and 67366 is 13.

Also check out the Least Common Multiple of 67353 and 67366