What is the Greatest Common Factor of 90080 and 90095?

Greatest common factor (GCF) of 90080 and 90095 is 5.

GCF(90080,90095) = 5

We will now calculate the prime factors of 90080 and 90095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90080 and 90095.

How to find the GCF of 90080 and 90095?

We will first find the prime factorization of 90080 and 90095. After we will calculate the factors of 90080 and 90095 and find the biggest common factor number .

Step-1: Prime Factorization of 90080

Prime factors of 90080 are 2, 5, 563. Prime factorization of 90080 in exponential form is:

90080 = 2⁵ × 5¹ × 563¹

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 90080

List of positive integer factors of 90080 that divides 90080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 563, 1126, 2252, 2815, 4504, 5630, 9008, 11260, 18016, 22520, 45040

Step-4: Factors of 90095

List of positive integer factors of 90095 that divides 90080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90080 and 90095. The biggest common factor number is the GCF number.
So the greatest common factor 90080 and 90095 is 5.

Also check out the Least Common Multiple of 90080 and 90095