What is the Greatest Common Factor of 20848 and 20852?

Greatest common factor (GCF) of 20848 and 20852 is 4.

GCF(20848,20852) = 4

We will now calculate the prime factors of 20848 and 20852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20848 and 20852.

How to find the GCF of 20848 and 20852?

We will first find the prime factorization of 20848 and 20852. After we will calculate the factors of 20848 and 20852 and find the biggest common factor number .

Step-1: Prime Factorization of 20848

Prime factors of 20848 are 2, 1303. Prime factorization of 20848 in exponential form is:

20848 = 2⁴ × 1303¹

Step-2: 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-3: Factors of 20848

List of positive integer factors of 20848 that divides 20848 without a remainder.

1, 2, 4, 8, 16, 1303, 2606, 5212, 10424

Step-4: Factors of 20852

List of positive integer factors of 20852 that divides 20848 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20848 and 20852. The biggest common factor number is the GCF number.
So the greatest common factor 20848 and 20852 is 4.

Also check out the Least Common Multiple of 20848 and 20852