What is the Greatest Common Factor of 90816 and 90834?

Greatest common factor (GCF) of 90816 and 90834 is 6.

GCF(90816,90834) = 6

We will now calculate the prime factors of 90816 and 90834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90816 and 90834.

How to find the GCF of 90816 and 90834?

We will first find the prime factorization of 90816 and 90834. After we will calculate the factors of 90816 and 90834 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 90834

Prime factors of 90834 are 2, 3, 15139. Prime factorization of 90834 in exponential form is:

90834 = 2¹ × 3¹ × 15139¹

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 90834

List of positive integer factors of 90834 that divides 90816 without a remainder.

1, 2, 3, 6, 15139, 30278, 45417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90816 and 90834. The biggest common factor number is the GCF number.
So the greatest common factor 90816 and 90834 is 6.

Also check out the Least Common Multiple of 90816 and 90834