What is the Greatest Common Factor of 90816 and 90828?

Greatest common factor (GCF) of 90816 and 90828 is 12.

GCF(90816,90828) = 12

We will now calculate the prime factors of 90816 and 90828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90816 and 90828.

How to find the GCF of 90816 and 90828?

We will first find the prime factorization of 90816 and 90828. After we will calculate the factors of 90816 and 90828 and find the biggest common factor number .

Step-1: Prime Factorization of 90816

Prime factors of 90816 are 2, 3, 11, 43. Prime factorization of 90816 in exponential form is:

90816 = 2⁶ × 3¹ × 11¹ × 43¹

Step-2: Prime Factorization of 90828

Prime factors of 90828 are 2, 3, 29. Prime factorization of 90828 in exponential form is:

90828 = 2² × 3³ × 29²

Step-3: Factors of 90816

List of positive integer factors of 90816 that divides 90816 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 43, 44, 48, 64, 66, 86, 88, 96, 129, 132, 172, 176, 192, 258, 264, 344, 352, 473, 516, 528, 688, 704, 946, 1032, 1056, 1376, 1419, 1892, 2064, 2112, 2752, 2838, 3784, 4128, 5676, 7568, 8256, 11352, 15136, 22704, 30272, 45408

Step-4: Factors of 90828

List of positive integer factors of 90828 that divides 90816 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 841, 1044, 1566, 1682, 2523, 3132, 3364, 5046, 7569, 10092, 15138, 22707, 30276, 45414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90816 and 90828. The biggest common factor number is the GCF number.
So the greatest common factor 90816 and 90828 is 12.

Also check out the Least Common Multiple of 90816 and 90828