What is the Greatest Common Factor of 17852 and 17856?

Greatest common factor (GCF) of 17852 and 17856 is 4.

GCF(17852,17856) = 4

We will now calculate the prime factors of 17852 and 17856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17852 and 17856.

How to find the GCF of 17852 and 17856?

We will first find the prime factorization of 17852 and 17856. After we will calculate the factors of 17852 and 17856 and find the biggest common factor number .

Step-1: Prime Factorization of 17852

Prime factors of 17852 are 2, 4463. Prime factorization of 17852 in exponential form is:

17852 = 2² × 4463¹

Step-2: Prime Factorization of 17856

Prime factors of 17856 are 2, 3, 31. Prime factorization of 17856 in exponential form is:

17856 = 2⁶ × 3² × 31¹

Step-3: Factors of 17852

List of positive integer factors of 17852 that divides 17852 without a remainder.

1, 2, 4, 4463, 8926

Step-4: Factors of 17856

List of positive integer factors of 17856 that divides 17852 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 64, 72, 93, 96, 124, 144, 186, 192, 248, 279, 288, 372, 496, 558, 576, 744, 992, 1116, 1488, 1984, 2232, 2976, 4464, 5952, 8928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17852 and 17856. The biggest common factor number is the GCF number.
So the greatest common factor 17852 and 17856 is 4.

Also check out the Least Common Multiple of 17852 and 17856