What is the Greatest Common Factor of 90880 and 90897?

Greatest common factor (GCF) of 90880 and 90897 is 1.

GCF(90880,90897) = 1

We will now calculate the prime factors of 90880 and 90897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90880 and 90897.

How to find the GCF of 90880 and 90897?

We will first find the prime factorization of 90880 and 90897. After we will calculate the factors of 90880 and 90897 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 90897

Prime factors of 90897 are 3, 41, 739. Prime factorization of 90897 in exponential form is:

90897 = 3¹ × 41¹ × 739¹

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 90897

List of positive integer factors of 90897 that divides 90880 without a remainder.

1, 3, 41, 123, 739, 2217, 30299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90880 and 90897. The biggest common factor number is the GCF number.
So the greatest common factor 90880 and 90897 is 1.

Also check out the Least Common Multiple of 90880 and 90897