What is the Greatest Common Factor of 88408 and 88417?

Greatest common factor (GCF) of 88408 and 88417 is 1.

GCF(88408,88417) = 1

We will now calculate the prime factors of 88408 and 88417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88408 and 88417.

How to find the GCF of 88408 and 88417?

We will first find the prime factorization of 88408 and 88417. After we will calculate the factors of 88408 and 88417 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 88417

Prime factors of 88417 are 7, 17, 743. Prime factorization of 88417 in exponential form is:

88417 = 7¹ × 17¹ × 743¹

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 88417

List of positive integer factors of 88417 that divides 88408 without a remainder.

1, 7, 17, 119, 743, 5201, 12631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88408 and 88417. The biggest common factor number is the GCF number.
So the greatest common factor 88408 and 88417 is 1.

Also check out the Least Common Multiple of 88408 and 88417