What is the Greatest Common Factor of 35805 and 35816?

Greatest common factor (GCF) of 35805 and 35816 is 11.

GCF(35805,35816) = 11

We will now calculate the prime factors of 35805 and 35816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35805 and 35816.

How to find the GCF of 35805 and 35816?

We will first find the prime factorization of 35805 and 35816. After we will calculate the factors of 35805 and 35816 and find the biggest common factor number .

Step-1: Prime Factorization of 35805

Prime factors of 35805 are 3, 5, 7, 11, 31. Prime factorization of 35805 in exponential form is:

35805 = 3¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 35816

Prime factors of 35816 are 2, 11, 37. Prime factorization of 35816 in exponential form is:

35816 = 2³ × 11² × 37¹

Step-3: Factors of 35805

List of positive integer factors of 35805 that divides 35805 without a remainder.

1, 3, 5, 7, 11, 15, 21, 31, 33, 35, 55, 77, 93, 105, 155, 165, 217, 231, 341, 385, 465, 651, 1023, 1085, 1155, 1705, 2387, 3255, 5115, 7161, 11935

Step-4: Factors of 35816

List of positive integer factors of 35816 that divides 35805 without a remainder.

1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 121, 148, 242, 296, 407, 484, 814, 968, 1628, 3256, 4477, 8954, 17908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35805 and 35816. The biggest common factor number is the GCF number.
So the greatest common factor 35805 and 35816 is 11.

Also check out the Least Common Multiple of 35805 and 35816