What is the Greatest Common Factor of 88309 and 88322?

Greatest common factor (GCF) of 88309 and 88322 is 13.

GCF(88309,88322) = 13

We will now calculate the prime factors of 88309 and 88322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88309 and 88322.

How to find the GCF of 88309 and 88322?

We will first find the prime factorization of 88309 and 88322. After we will calculate the factors of 88309 and 88322 and find the biggest common factor number .

Step-1: Prime Factorization of 88309

Prime factors of 88309 are 13, 6793. Prime factorization of 88309 in exponential form is:

88309 = 13¹ × 6793¹

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 88309

List of positive integer factors of 88309 that divides 88309 without a remainder.

1, 13, 6793

Step-4: Factors of 88322

List of positive integer factors of 88322 that divides 88309 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 88309 and 88322. The biggest common factor number is the GCF number.
So the greatest common factor 88309 and 88322 is 13.

Also check out the Least Common Multiple of 88309 and 88322