What is the Greatest Common Factor of 89596 and 89600?

Greatest common factor (GCF) of 89596 and 89600 is 4.

GCF(89596,89600) = 4

We will now calculate the prime factors of 89596 and 89600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89596 and 89600.

How to find the GCF of 89596 and 89600?

We will first find the prime factorization of 89596 and 89600. After we will calculate the factors of 89596 and 89600 and find the biggest common factor number .

Step-1: Prime Factorization of 89596

Prime factors of 89596 are 2, 13, 1723. Prime factorization of 89596 in exponential form is:

89596 = 2² × 13¹ × 1723¹

Step-2: Prime Factorization of 89600

Prime factors of 89600 are 2, 5, 7. Prime factorization of 89600 in exponential form is:

89600 = 2⁹ × 5² × 7¹

Step-3: Factors of 89596

List of positive integer factors of 89596 that divides 89596 without a remainder.

1, 2, 4, 13, 26, 52, 1723, 3446, 6892, 22399, 44798

Step-4: Factors of 89600

List of positive integer factors of 89600 that divides 89596 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 128, 140, 160, 175, 200, 224, 256, 280, 320, 350, 400, 448, 512, 560, 640, 700, 800, 896, 1120, 1280, 1400, 1600, 1792, 2240, 2560, 2800, 3200, 3584, 4480, 5600, 6400, 8960, 11200, 12800, 17920, 22400, 44800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89596 and 89600. The biggest common factor number is the GCF number.
So the greatest common factor 89596 and 89600 is 4.

Also check out the Least Common Multiple of 89596 and 89600