What is the Greatest Common Factor of 90880 and 90895?

Greatest common factor (GCF) of 90880 and 90895 is 5.

GCF(90880,90895) = 5

We will now calculate the prime factors of 90880 and 90895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90880 and 90895.

How to find the GCF of 90880 and 90895?

We will first find the prime factorization of 90880 and 90895. After we will calculate the factors of 90880 and 90895 and find the biggest common factor number .

Step-1: Prime Factorization of 90880

Prime factors of 90880 are 2, 5, 71. Prime factorization of 90880 in exponential form is:

90880 = 2⁸ × 5¹ × 71¹

Step-2: Prime Factorization of 90895

Prime factors of 90895 are 5, 7, 53. Prime factorization of 90895 in exponential form is:

90895 = 5¹ × 7³ × 53¹

Step-3: Factors of 90880

List of positive integer factors of 90880 that divides 90880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 71, 80, 128, 142, 160, 256, 284, 320, 355, 568, 640, 710, 1136, 1280, 1420, 2272, 2840, 4544, 5680, 9088, 11360, 18176, 22720, 45440

Step-4: Factors of 90895

List of positive integer factors of 90895 that divides 90880 without a remainder.

1, 5, 7, 35, 49, 53, 245, 265, 343, 371, 1715, 1855, 2597, 12985, 18179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90880 and 90895. The biggest common factor number is the GCF number.
So the greatest common factor 90880 and 90895 is 5.

Also check out the Least Common Multiple of 90880 and 90895