What is the Greatest Common Factor of 90189 and 90208?

Greatest common factor (GCF) of 90189 and 90208 is 1.

GCF(90189,90208) = 1

We will now calculate the prime factors of 90189 and 90208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90189 and 90208.

How to find the GCF of 90189 and 90208?

We will first find the prime factorization of 90189 and 90208. After we will calculate the factors of 90189 and 90208 and find the biggest common factor number .

Step-1: Prime Factorization of 90189

Prime factors of 90189 are 3, 11, 911. Prime factorization of 90189 in exponential form is:

90189 = 3² × 11¹ × 911¹

Step-2: Prime Factorization of 90208

Prime factors of 90208 are 2, 2819. Prime factorization of 90208 in exponential form is:

90208 = 2⁵ × 2819¹

Step-3: Factors of 90189

List of positive integer factors of 90189 that divides 90189 without a remainder.

1, 3, 9, 11, 33, 99, 911, 2733, 8199, 10021, 30063

Step-4: Factors of 90208

List of positive integer factors of 90208 that divides 90189 without a remainder.

1, 2, 4, 8, 16, 32, 2819, 5638, 11276, 22552, 45104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90189 and 90208. The biggest common factor number is the GCF number.
So the greatest common factor 90189 and 90208 is 1.

Also check out the Least Common Multiple of 90189 and 90208