What is the Greatest Common Factor of 88308 and 88326?

Greatest common factor (GCF) of 88308 and 88326 is 18.

GCF(88308,88326) = 18

We will now calculate the prime factors of 88308 and 88326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88308 and 88326.

How to find the GCF of 88308 and 88326?

We will first find the prime factorization of 88308 and 88326. After we will calculate the factors of 88308 and 88326 and find the biggest common factor number .

Step-1: Prime Factorization of 88308

Prime factors of 88308 are 2, 3, 11, 223. Prime factorization of 88308 in exponential form is:

88308 = 2² × 3² × 11¹ × 223¹

Step-2: 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-3: Factors of 88308

List of positive integer factors of 88308 that divides 88308 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 223, 396, 446, 669, 892, 1338, 2007, 2453, 2676, 4014, 4906, 7359, 8028, 9812, 14718, 22077, 29436, 44154

Step-4: Factors of 88326

List of positive integer factors of 88326 that divides 88308 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88308 and 88326. The biggest common factor number is the GCF number.
So the greatest common factor 88308 and 88326 is 18.

Also check out the Least Common Multiple of 88308 and 88326