What is the Greatest Common Factor of 69326 and 69343?

Greatest common factor (GCF) of 69326 and 69343 is 17.

GCF(69326,69343) = 17

We will now calculate the prime factors of 69326 and 69343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69326 and 69343.

How to find the GCF of 69326 and 69343?

We will first find the prime factorization of 69326 and 69343. After we will calculate the factors of 69326 and 69343 and find the biggest common factor number .

Step-1: Prime Factorization of 69326

Prime factors of 69326 are 2, 17, 2039. Prime factorization of 69326 in exponential form is:

69326 = 2¹ × 17¹ × 2039¹

Step-2: Prime Factorization of 69343

Prime factors of 69343 are 17, 4079. Prime factorization of 69343 in exponential form is:

69343 = 17¹ × 4079¹

Step-3: Factors of 69326

List of positive integer factors of 69326 that divides 69326 without a remainder.

1, 2, 17, 34, 2039, 4078, 34663

Step-4: Factors of 69343

List of positive integer factors of 69343 that divides 69326 without a remainder.

1, 17, 4079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69326 and 69343. The biggest common factor number is the GCF number.
So the greatest common factor 69326 and 69343 is 17.

Also check out the Least Common Multiple of 69326 and 69343