What is the Greatest Common Factor of 88304 and 88321?

Greatest common factor (GCF) of 88304 and 88321 is 1.

GCF(88304,88321) = 1

We will now calculate the prime factors of 88304 and 88321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88304 and 88321.

How to find the GCF of 88304 and 88321?

We will first find the prime factorization of 88304 and 88321. After we will calculate the factors of 88304 and 88321 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 88321

Prime factors of 88321 are 88321. Prime factorization of 88321 in exponential form is:

88321 = 88321¹

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 88321

List of positive integer factors of 88321 that divides 88304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88304 and 88321. The biggest common factor number is the GCF number.
So the greatest common factor 88304 and 88321 is 1.

Also check out the Least Common Multiple of 88304 and 88321