What is the Greatest Common Factor of 89200 and 89210?

Greatest common factor (GCF) of 89200 and 89210 is 10.

GCF(89200,89210) = 10

We will now calculate the prime factors of 89200 and 89210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89200 and 89210.

How to find the GCF of 89200 and 89210?

We will first find the prime factorization of 89200 and 89210. After we will calculate the factors of 89200 and 89210 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 89210

Prime factors of 89210 are 2, 5, 11, 811. Prime factorization of 89210 in exponential form is:

89210 = 2¹ × 5¹ × 11¹ × 811¹

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 89210

List of positive integer factors of 89210 that divides 89200 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 811, 1622, 4055, 8110, 8921, 17842, 44605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89200 and 89210. The biggest common factor number is the GCF number.
So the greatest common factor 89200 and 89210 is 10.

Also check out the Least Common Multiple of 89200 and 89210