What is the Greatest Common Factor of 89318 and 89332?

Greatest common factor (GCF) of 89318 and 89332 is 2.

GCF(89318,89332) = 2

We will now calculate the prime factors of 89318 and 89332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89318 and 89332.

How to find the GCF of 89318 and 89332?

We will first find the prime factorization of 89318 and 89332. After we will calculate the factors of 89318 and 89332 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 89332

Prime factors of 89332 are 2, 23, 971. Prime factorization of 89332 in exponential form is:

89332 = 2² × 23¹ × 971¹

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 89332

List of positive integer factors of 89332 that divides 89318 without a remainder.

1, 2, 4, 23, 46, 92, 971, 1942, 3884, 22333, 44666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89318 and 89332. The biggest common factor number is the GCF number.
So the greatest common factor 89318 and 89332 is 2.

Also check out the Least Common Multiple of 89318 and 89332