What is the Greatest Common Factor of 88322 and 88336?

Greatest common factor (GCF) of 88322 and 88336 is 2.

GCF(88322,88336) = 2

We will now calculate the prime factors of 88322 and 88336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88322 and 88336.

How to find the GCF of 88322 and 88336?

We will first find the prime factorization of 88322 and 88336. After we will calculate the factors of 88322 and 88336 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88336

Prime factors of 88336 are 2, 5521. Prime factorization of 88336 in exponential form is:

88336 = 2⁴ × 5521¹

Step-3: Factors of 88322

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

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

Step-4: Factors of 88336

List of positive integer factors of 88336 that divides 88322 without a remainder.

1, 2, 4, 8, 16, 5521, 11042, 22084, 44168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88322 and 88336. The biggest common factor number is the GCF number.
So the greatest common factor 88322 and 88336 is 2.

Also check out the Least Common Multiple of 88322 and 88336