What is the Greatest Common Factor of 16852 and 16872?

Greatest common factor (GCF) of 16852 and 16872 is 4.

GCF(16852,16872) = 4

We will now calculate the prime factors of 16852 and 16872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16852 and 16872.

How to find the GCF of 16852 and 16872?

We will first find the prime factorization of 16852 and 16872. After we will calculate the factors of 16852 and 16872 and find the biggest common factor number .

Step-1: Prime Factorization of 16852

Prime factors of 16852 are 2, 11, 383. Prime factorization of 16852 in exponential form is:

16852 = 2² × 11¹ × 383¹

Step-2: Prime Factorization of 16872

Prime factors of 16872 are 2, 3, 19, 37. Prime factorization of 16872 in exponential form is:

16872 = 2³ × 3¹ × 19¹ × 37¹

Step-3: Factors of 16852

List of positive integer factors of 16852 that divides 16852 without a remainder.

1, 2, 4, 11, 22, 44, 383, 766, 1532, 4213, 8426

Step-4: Factors of 16872

List of positive integer factors of 16872 that divides 16852 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 37, 38, 57, 74, 76, 111, 114, 148, 152, 222, 228, 296, 444, 456, 703, 888, 1406, 2109, 2812, 4218, 5624, 8436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16852 and 16872. The biggest common factor number is the GCF number.
So the greatest common factor 16852 and 16872 is 4.

Also check out the Least Common Multiple of 16852 and 16872