What is the Greatest Common Factor of 88408 and 88412?

Greatest common factor (GCF) of 88408 and 88412 is 4.

GCF(88408,88412) = 4

We will now calculate the prime factors of 88408 and 88412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88408 and 88412.

How to find the GCF of 88408 and 88412?

We will first find the prime factorization of 88408 and 88412. After we will calculate the factors of 88408 and 88412 and find the biggest common factor number .

Step-1: Prime Factorization of 88408

Prime factors of 88408 are 2, 43, 257. Prime factorization of 88408 in exponential form is:

88408 = 2³ × 43¹ × 257¹

Step-2: Prime Factorization of 88412

Prime factors of 88412 are 2, 23, 31. Prime factorization of 88412 in exponential form is:

88412 = 2² × 23¹ × 31²

Step-3: Factors of 88408

List of positive integer factors of 88408 that divides 88408 without a remainder.

1, 2, 4, 8, 43, 86, 172, 257, 344, 514, 1028, 2056, 11051, 22102, 44204

Step-4: Factors of 88412

List of positive integer factors of 88412 that divides 88408 without a remainder.

1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 961, 1426, 1922, 2852, 3844, 22103, 44206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88408 and 88412. The biggest common factor number is the GCF number.
So the greatest common factor 88408 and 88412 is 4.

Also check out the Least Common Multiple of 88408 and 88412