What is the Greatest Common Factor of 90084 and 90095?

Greatest common factor (GCF) of 90084 and 90095 is 1.

GCF(90084,90095) = 1

We will now calculate the prime factors of 90084 and 90095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90084 and 90095.

How to find the GCF of 90084 and 90095?

We will first find the prime factorization of 90084 and 90095. After we will calculate the factors of 90084 and 90095 and find the biggest common factor number .

Step-1: Prime Factorization of 90084

Prime factors of 90084 are 2, 3, 7507. Prime factorization of 90084 in exponential form is:

90084 = 2² × 3¹ × 7507¹

Step-2: Prime Factorization of 90095

Prime factors of 90095 are 5, 37, 487. Prime factorization of 90095 in exponential form is:

90095 = 5¹ × 37¹ × 487¹

Step-3: Factors of 90084

List of positive integer factors of 90084 that divides 90084 without a remainder.

1, 2, 3, 4, 6, 12, 7507, 15014, 22521, 30028, 45042

Step-4: Factors of 90095

List of positive integer factors of 90095 that divides 90084 without a remainder.

1, 5, 37, 185, 487, 2435, 18019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90084 and 90095. The biggest common factor number is the GCF number.
So the greatest common factor 90084 and 90095 is 1.

Also check out the Least Common Multiple of 90084 and 90095