What is the Greatest Common Factor of 90870 and 90880?

Greatest common factor (GCF) of 90870 and 90880 is 10.

GCF(90870,90880) = 10

We will now calculate the prime factors of 90870 and 90880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90870 and 90880.

How to find the GCF of 90870 and 90880?

We will first find the prime factorization of 90870 and 90880. After we will calculate the factors of 90870 and 90880 and find the biggest common factor number .

Step-1: Prime Factorization of 90870

Prime factors of 90870 are 2, 3, 5, 13, 233. Prime factorization of 90870 in exponential form is:

90870 = 2¹ × 3¹ × 5¹ × 13¹ × 233¹

Step-2: 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-3: Factors of 90870

List of positive integer factors of 90870 that divides 90870 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 233, 390, 466, 699, 1165, 1398, 2330, 3029, 3495, 6058, 6990, 9087, 15145, 18174, 30290, 45435

Step-4: Factors of 90880

List of positive integer factors of 90880 that divides 90870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90870 and 90880. The biggest common factor number is the GCF number.
So the greatest common factor 90870 and 90880 is 10.

Also check out the Least Common Multiple of 90870 and 90880