What is the Greatest Common Factor of 88326 and 88343?

Greatest common factor (GCF) of 88326 and 88343 is 1.

GCF(88326,88343) = 1

We will now calculate the prime factors of 88326 and 88343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88326 and 88343.

How to find the GCF of 88326 and 88343?

We will first find the prime factorization of 88326 and 88343. After we will calculate the factors of 88326 and 88343 and find the biggest common factor number .

Step-1: Prime Factorization of 88326

Prime factors of 88326 are 2, 3, 7, 701. Prime factorization of 88326 in exponential form is:

88326 = 2¹ × 3² × 7¹ × 701¹

Step-2: Prime Factorization of 88343

Prime factors of 88343 are 23, 167. Prime factorization of 88343 in exponential form is:

88343 = 23² × 167¹

Step-3: Factors of 88326

List of positive integer factors of 88326 that divides 88326 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 701, 1402, 2103, 4206, 4907, 6309, 9814, 12618, 14721, 29442, 44163

Step-4: Factors of 88343

List of positive integer factors of 88343 that divides 88326 without a remainder.

1, 23, 167, 529, 3841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88326 and 88343. The biggest common factor number is the GCF number.
So the greatest common factor 88326 and 88343 is 1.

Also check out the Least Common Multiple of 88326 and 88343