What is the Greatest Common Factor of 89318 and 89335?

Greatest common factor (GCF) of 89318 and 89335 is 17.

GCF(89318,89335) = 17

We will now calculate the prime factors of 89318 and 89335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89318 and 89335.

How to find the GCF of 89318 and 89335?

We will first find the prime factorization of 89318 and 89335. After we will calculate the factors of 89318 and 89335 and find the biggest common factor number .

Step-1: Prime Factorization of 89318

Prime factors of 89318 are 2, 17, 37, 71. Prime factorization of 89318 in exponential form is:

89318 = 2¹ × 17¹ × 37¹ × 71¹

Step-2: Prime Factorization of 89335

Prime factors of 89335 are 5, 17, 1051. Prime factorization of 89335 in exponential form is:

89335 = 5¹ × 17¹ × 1051¹

Step-3: Factors of 89318

List of positive integer factors of 89318 that divides 89318 without a remainder.

1, 2, 17, 34, 37, 71, 74, 142, 629, 1207, 1258, 2414, 2627, 5254, 44659

Step-4: Factors of 89335

List of positive integer factors of 89335 that divides 89318 without a remainder.

1, 5, 17, 85, 1051, 5255, 17867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89318 and 89335. The biggest common factor number is the GCF number.
So the greatest common factor 89318 and 89335 is 17.

Also check out the Least Common Multiple of 89318 and 89335