What is the Greatest Common Factor of 89210 and 89230?

Greatest common factor (GCF) of 89210 and 89230 is 10.

GCF(89210,89230) = 10

We will now calculate the prime factors of 89210 and 89230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89210 and 89230.

How to find the GCF of 89210 and 89230?

We will first find the prime factorization of 89210 and 89230. After we will calculate the factors of 89210 and 89230 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89230

Prime factors of 89230 are 2, 5, 8923. Prime factorization of 89230 in exponential form is:

89230 = 2¹ × 5¹ × 8923¹

Step-3: Factors of 89210

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

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

Step-4: Factors of 89230

List of positive integer factors of 89230 that divides 89210 without a remainder.

1, 2, 5, 10, 8923, 17846, 44615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89210 and 89230. The biggest common factor number is the GCF number.
So the greatest common factor 89210 and 89230 is 10.

Also check out the Least Common Multiple of 89210 and 89230