What is the Greatest Common Factor of 90880 and 90890?

Greatest common factor (GCF) of 90880 and 90890 is 10.

GCF(90880,90890) = 10

We will now calculate the prime factors of 90880 and 90890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90880 and 90890.

How to find the GCF of 90880 and 90890?

We will first find the prime factorization of 90880 and 90890. After we will calculate the factors of 90880 and 90890 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 90890

Prime factors of 90890 are 2, 5, 61, 149. Prime factorization of 90890 in exponential form is:

90890 = 2¹ × 5¹ × 61¹ × 149¹

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 90890

List of positive integer factors of 90890 that divides 90880 without a remainder.

1, 2, 5, 10, 61, 122, 149, 298, 305, 610, 745, 1490, 9089, 18178, 45445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90880 and 90890. The biggest common factor number is the GCF number.
So the greatest common factor 90880 and 90890 is 10.

Also check out the Least Common Multiple of 90880 and 90890