What is the Greatest Common Factor of 90164 and 90182?

Greatest common factor (GCF) of 90164 and 90182 is 2.

GCF(90164,90182) = 2

We will now calculate the prime factors of 90164 and 90182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90164 and 90182.

How to find the GCF of 90164 and 90182?

We will first find the prime factorization of 90164 and 90182. After we will calculate the factors of 90164 and 90182 and find the biggest common factor number .

Step-1: Prime Factorization of 90164

Prime factors of 90164 are 2, 22541. Prime factorization of 90164 in exponential form is:

90164 = 2² × 22541¹

Step-2: Prime Factorization of 90182

Prime factors of 90182 are 2, 67, 673. Prime factorization of 90182 in exponential form is:

90182 = 2¹ × 67¹ × 673¹

Step-3: Factors of 90164

List of positive integer factors of 90164 that divides 90164 without a remainder.

1, 2, 4, 22541, 45082

Step-4: Factors of 90182

List of positive integer factors of 90182 that divides 90164 without a remainder.

1, 2, 67, 134, 673, 1346, 45091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90164 and 90182. The biggest common factor number is the GCF number.
So the greatest common factor 90164 and 90182 is 2.

Also check out the Least Common Multiple of 90164 and 90182