What is the Greatest Common Factor of 88303 and 88308?

Greatest common factor (GCF) of 88303 and 88308 is 1.

GCF(88303,88308) = 1

We will now calculate the prime factors of 88303 and 88308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88303 and 88308.

How to find the GCF of 88303 and 88308?

We will first find the prime factorization of 88303 and 88308. After we will calculate the factors of 88303 and 88308 and find the biggest common factor number .

Step-1: Prime Factorization of 88303

Prime factors of 88303 are 227, 389. Prime factorization of 88303 in exponential form is:

88303 = 227¹ × 389¹

Step-2: 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-3: Factors of 88303

List of positive integer factors of 88303 that divides 88303 without a remainder.

1, 227, 389

Step-4: Factors of 88308

List of positive integer factors of 88308 that divides 88303 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88303 and 88308. The biggest common factor number is the GCF number.
So the greatest common factor 88303 and 88308 is 1.

Also check out the Least Common Multiple of 88303 and 88308