What is the Greatest Common Factor of 88322 and 88335?

Greatest common factor (GCF) of 88322 and 88335 is 13.

GCF(88322,88335) = 13

We will now calculate the prime factors of 88322 and 88335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88322 and 88335.

How to find the GCF of 88322 and 88335?

We will first find the prime factorization of 88322 and 88335. After we will calculate the factors of 88322 and 88335 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 88335

Prime factors of 88335 are 3, 5, 13, 151. Prime factorization of 88335 in exponential form is:

88335 = 3² × 5¹ × 13¹ × 151¹

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 88335

List of positive integer factors of 88335 that divides 88322 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 151, 195, 453, 585, 755, 1359, 1963, 2265, 5889, 6795, 9815, 17667, 29445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88322 and 88335. The biggest common factor number is the GCF number.
So the greatest common factor 88322 and 88335 is 13.

Also check out the Least Common Multiple of 88322 and 88335