What is the Greatest Common Factor of 20852 and 20872?

Greatest common factor (GCF) of 20852 and 20872 is 4.

GCF(20852,20872) = 4

We will now calculate the prime factors of 20852 and 20872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20852 and 20872.

How to find the GCF of 20852 and 20872?

We will first find the prime factorization of 20852 and 20872. After we will calculate the factors of 20852 and 20872 and find the biggest common factor number .

Step-1: Prime Factorization of 20852

Prime factors of 20852 are 2, 13, 401. Prime factorization of 20852 in exponential form is:

20852 = 2² × 13¹ × 401¹

Step-2: Prime Factorization of 20872

Prime factors of 20872 are 2, 2609. Prime factorization of 20872 in exponential form is:

20872 = 2³ × 2609¹

Step-3: Factors of 20852

List of positive integer factors of 20852 that divides 20852 without a remainder.

1, 2, 4, 13, 26, 52, 401, 802, 1604, 5213, 10426

Step-4: Factors of 20872

List of positive integer factors of 20872 that divides 20852 without a remainder.

1, 2, 4, 8, 2609, 5218, 10436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20852 and 20872. The biggest common factor number is the GCF number.
So the greatest common factor 20852 and 20872 is 4.

Also check out the Least Common Multiple of 20852 and 20872