What is the Greatest Common Factor of 89874 and 89882?

Greatest common factor (GCF) of 89874 and 89882 is 2.

GCF(89874,89882) = 2

We will now calculate the prime factors of 89874 and 89882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89874 and 89882.

How to find the GCF of 89874 and 89882?

We will first find the prime factorization of 89874 and 89882. After we will calculate the factors of 89874 and 89882 and find the biggest common factor number .

Step-1: Prime Factorization of 89874

Prime factors of 89874 are 2, 3, 4993. Prime factorization of 89874 in exponential form is:

89874 = 2¹ × 3² × 4993¹

Step-2: Prime Factorization of 89882

Prime factors of 89882 are 2, 13, 3457. Prime factorization of 89882 in exponential form is:

89882 = 2¹ × 13¹ × 3457¹

Step-3: Factors of 89874

List of positive integer factors of 89874 that divides 89874 without a remainder.

1, 2, 3, 6, 9, 18, 4993, 9986, 14979, 29958, 44937

Step-4: Factors of 89882

List of positive integer factors of 89882 that divides 89874 without a remainder.

1, 2, 13, 26, 3457, 6914, 44941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89874 and 89882. The biggest common factor number is the GCF number.
So the greatest common factor 89874 and 89882 is 2.

Also check out the Least Common Multiple of 89874 and 89882