What is the Greatest Common Factor of 88304 and 88322?

Greatest common factor (GCF) of 88304 and 88322 is 2.

GCF(88304,88322) = 2

We will now calculate the prime factors of 88304 and 88322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88304 and 88322.

How to find the GCF of 88304 and 88322?

We will first find the prime factorization of 88304 and 88322. After we will calculate the factors of 88304 and 88322 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 88322

Prime factors of 88322 are 2, 13, 43, 79. Prime factorization of 88322 in exponential form is:

88322 = 2¹ × 13¹ × 43¹ × 79¹

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 88322

List of positive integer factors of 88322 that divides 88304 without a remainder.

1, 2, 13, 26, 43, 79, 86, 158, 559, 1027, 1118, 2054, 3397, 6794, 44161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88304 and 88322. The biggest common factor number is the GCF number.
So the greatest common factor 88304 and 88322 is 2.

Also check out the Least Common Multiple of 88304 and 88322