What is the Greatest Common Factor of 88308 and 88319?

Greatest common factor (GCF) of 88308 and 88319 is 11.

GCF(88308,88319) = 11

We will now calculate the prime factors of 88308 and 88319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88308 and 88319.

How to find the GCF of 88308 and 88319?

We will first find the prime factorization of 88308 and 88319. After we will calculate the factors of 88308 and 88319 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 88319

Prime factors of 88319 are 7, 11, 31, 37. Prime factorization of 88319 in exponential form is:

88319 = 7¹ × 11¹ × 31¹ × 37¹

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 88319

List of positive integer factors of 88319 that divides 88308 without a remainder.

1, 7, 11, 31, 37, 77, 217, 259, 341, 407, 1147, 2387, 2849, 8029, 12617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88308 and 88319. The biggest common factor number is the GCF number.
So the greatest common factor 88308 and 88319 is 11.

Also check out the Least Common Multiple of 88308 and 88319