What is the Greatest Common Factor of 89200 and 89204?

Greatest common factor (GCF) of 89200 and 89204 is 4.

GCF(89200,89204) = 4

We will now calculate the prime factors of 89200 and 89204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89200 and 89204.

How to find the GCF of 89200 and 89204?

We will first find the prime factorization of 89200 and 89204. After we will calculate the factors of 89200 and 89204 and find the biggest common factor number .

Step-1: Prime Factorization of 89200

Prime factors of 89200 are 2, 5, 223. Prime factorization of 89200 in exponential form is:

89200 = 2⁴ × 5² × 223¹

Step-2: Prime Factorization of 89204

Prime factors of 89204 are 2, 29, 769. Prime factorization of 89204 in exponential form is:

89204 = 2² × 29¹ × 769¹

Step-3: Factors of 89200

List of positive integer factors of 89200 that divides 89200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 223, 400, 446, 892, 1115, 1784, 2230, 3568, 4460, 5575, 8920, 11150, 17840, 22300, 44600

Step-4: Factors of 89204

List of positive integer factors of 89204 that divides 89200 without a remainder.

1, 2, 4, 29, 58, 116, 769, 1538, 3076, 22301, 44602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89200 and 89204. The biggest common factor number is the GCF number.
So the greatest common factor 89200 and 89204 is 4.

Also check out the Least Common Multiple of 89200 and 89204