What is the Greatest Common Factor of 90178 and 90189?

Greatest common factor (GCF) of 90178 and 90189 is 11.

GCF(90178,90189) = 11

We will now calculate the prime factors of 90178 and 90189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90178 and 90189.

How to find the GCF of 90178 and 90189?

We will first find the prime factorization of 90178 and 90189. After we will calculate the factors of 90178 and 90189 and find the biggest common factor number .

Step-1: Prime Factorization of 90178

Prime factors of 90178 are 2, 11, 4099. Prime factorization of 90178 in exponential form is:

90178 = 2¹ × 11¹ × 4099¹

Step-2: 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-3: Factors of 90178

List of positive integer factors of 90178 that divides 90178 without a remainder.

1, 2, 11, 22, 4099, 8198, 45089

Step-4: Factors of 90189

List of positive integer factors of 90189 that divides 90178 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90178 and 90189. The biggest common factor number is the GCF number.
So the greatest common factor 90178 and 90189 is 11.

Also check out the Least Common Multiple of 90178 and 90189