What is the Greatest Common Factor of 90160 and 90165?

Greatest common factor (GCF) of 90160 and 90165 is 5.

GCF(90160,90165) = 5

We will now calculate the prime factors of 90160 and 90165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90160 and 90165.

How to find the GCF of 90160 and 90165?

We will first find the prime factorization of 90160 and 90165. After we will calculate the factors of 90160 and 90165 and find the biggest common factor number .

Step-1: Prime Factorization of 90160

Prime factors of 90160 are 2, 5, 7, 23. Prime factorization of 90160 in exponential form is:

90160 = 2⁴ × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 90165

Prime factors of 90165 are 3, 5, 6011. Prime factorization of 90165 in exponential form is:

90165 = 3¹ × 5¹ × 6011¹

Step-3: Factors of 90160

List of positive integer factors of 90160 that divides 90160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 35, 40, 46, 49, 56, 70, 80, 92, 98, 112, 115, 140, 161, 184, 196, 230, 245, 280, 322, 368, 392, 460, 490, 560, 644, 784, 805, 920, 980, 1127, 1288, 1610, 1840, 1960, 2254, 2576, 3220, 3920, 4508, 5635, 6440, 9016, 11270, 12880, 18032, 22540, 45080

Step-4: Factors of 90165

List of positive integer factors of 90165 that divides 90160 without a remainder.

1, 3, 5, 15, 6011, 18033, 30055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90160 and 90165. The biggest common factor number is the GCF number.
So the greatest common factor 90160 and 90165 is 5.

Also check out the Least Common Multiple of 90160 and 90165