What is the Greatest Common Factor of 35816 and 35827?

Greatest common factor (GCF) of 35816 and 35827 is 11.

GCF(35816,35827) = 11

We will now calculate the prime factors of 35816 and 35827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35816 and 35827.

How to find the GCF of 35816 and 35827?

We will first find the prime factorization of 35816 and 35827. After we will calculate the factors of 35816 and 35827 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35827

Prime factors of 35827 are 11, 3257. Prime factorization of 35827 in exponential form is:

35827 = 11¹ × 3257¹

Step-3: Factors of 35816

List of positive integer factors of 35816 that divides 35816 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

Step-4: Factors of 35827

List of positive integer factors of 35827 that divides 35816 without a remainder.

1, 11, 3257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35816 and 35827. The biggest common factor number is the GCF number.
So the greatest common factor 35816 and 35827 is 11.

Also check out the Least Common Multiple of 35816 and 35827