What is the Greatest Common Factor of 89404 and 89416?

Greatest common factor (GCF) of 89404 and 89416 is 4.

GCF(89404,89416) = 4

We will now calculate the prime factors of 89404 and 89416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89404 and 89416.

How to find the GCF of 89404 and 89416?

We will first find the prime factorization of 89404 and 89416. After we will calculate the factors of 89404 and 89416 and find the biggest common factor number .

Step-1: Prime Factorization of 89404

Prime factors of 89404 are 2, 7, 31, 103. Prime factorization of 89404 in exponential form is:

89404 = 2² × 7¹ × 31¹ × 103¹

Step-2: Prime Factorization of 89416

Prime factors of 89416 are 2, 11177. Prime factorization of 89416 in exponential form is:

89416 = 2³ × 11177¹

Step-3: Factors of 89404

List of positive integer factors of 89404 that divides 89404 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 103, 124, 206, 217, 412, 434, 721, 868, 1442, 2884, 3193, 6386, 12772, 22351, 44702

Step-4: Factors of 89416

List of positive integer factors of 89416 that divides 89404 without a remainder.

1, 2, 4, 8, 11177, 22354, 44708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89404 and 89416. The biggest common factor number is the GCF number.
So the greatest common factor 89404 and 89416 is 4.

Also check out the Least Common Multiple of 89404 and 89416