What is the Greatest Common Factor of 69328 and 69343?

Greatest common factor (GCF) of 69328 and 69343 is 1.

GCF(69328,69343) = 1

We will now calculate the prime factors of 69328 and 69343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69328 and 69343.

How to find the GCF of 69328 and 69343?

We will first find the prime factorization of 69328 and 69343. After we will calculate the factors of 69328 and 69343 and find the biggest common factor number .

Step-1: Prime Factorization of 69328

Prime factors of 69328 are 2, 7, 619. Prime factorization of 69328 in exponential form is:

69328 = 2⁴ × 7¹ × 619¹

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 69328

List of positive integer factors of 69328 that divides 69328 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 619, 1238, 2476, 4333, 4952, 8666, 9904, 17332, 34664

Step-4: Factors of 69343

List of positive integer factors of 69343 that divides 69328 without a remainder.

1, 17, 4079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69328 and 69343. The biggest common factor number is the GCF number.
So the greatest common factor 69328 and 69343 is 1.

Also check out the Least Common Multiple of 69328 and 69343