What is the Greatest Common Factor of 90880 and 90888?

Greatest common factor (GCF) of 90880 and 90888 is 8.

GCF(90880,90888) = 8

We will now calculate the prime factors of 90880 and 90888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90880 and 90888.

How to find the GCF of 90880 and 90888?

We will first find the prime factorization of 90880 and 90888. After we will calculate the factors of 90880 and 90888 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 90888

Prime factors of 90888 are 2, 3, 7, 541. Prime factorization of 90888 in exponential form is:

90888 = 2³ × 3¹ × 7¹ × 541¹

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 90888

List of positive integer factors of 90888 that divides 90880 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 541, 1082, 1623, 2164, 3246, 3787, 4328, 6492, 7574, 11361, 12984, 15148, 22722, 30296, 45444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90880 and 90888. The biggest common factor number is the GCF number.
So the greatest common factor 90880 and 90888 is 8.

Also check out the Least Common Multiple of 90880 and 90888