What is the Greatest Common Factor of 88304 and 88319?

Greatest common factor (GCF) of 88304 and 88319 is 1.

GCF(88304,88319) = 1

We will now calculate the prime factors of 88304 and 88319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88304 and 88319.

How to find the GCF of 88304 and 88319?

We will first find the prime factorization of 88304 and 88319. After we will calculate the factors of 88304 and 88319 and find the biggest common factor number .

Step-1: Prime Factorization of 88304

Prime factors of 88304 are 2, 5519. Prime factorization of 88304 in exponential form is:

88304 = 2⁴ × 5519¹

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 88304

List of positive integer factors of 88304 that divides 88304 without a remainder.

1, 2, 4, 8, 16, 5519, 11038, 22076, 44152

Step-4: Factors of 88319

List of positive integer factors of 88319 that divides 88304 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 88304 and 88319. The biggest common factor number is the GCF number.
So the greatest common factor 88304 and 88319 is 1.

Also check out the Least Common Multiple of 88304 and 88319