What is the Greatest Common Factor of 35816 and 35832?

Greatest common factor (GCF) of 35816 and 35832 is 8.

GCF(35816,35832) = 8

We will now calculate the prime factors of 35816 and 35832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35816 and 35832.

How to find the GCF of 35816 and 35832?

We will first find the prime factorization of 35816 and 35832. After we will calculate the factors of 35816 and 35832 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 35832

Prime factors of 35832 are 2, 3, 1493. Prime factorization of 35832 in exponential form is:

35832 = 2³ × 3¹ × 1493¹

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 35832

List of positive integer factors of 35832 that divides 35816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1493, 2986, 4479, 5972, 8958, 11944, 17916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35816 and 35832. The biggest common factor number is the GCF number.
So the greatest common factor 35816 and 35832 is 8.

Also check out the Least Common Multiple of 35816 and 35832