What is the Greatest Common Factor of 20852 and 20864?

Greatest common factor (GCF) of 20852 and 20864 is 4.

GCF(20852,20864) = 4

We will now calculate the prime factors of 20852 and 20864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20852 and 20864.

How to find the GCF of 20852 and 20864?

We will first find the prime factorization of 20852 and 20864. After we will calculate the factors of 20852 and 20864 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 20864

Prime factors of 20864 are 2, 163. Prime factorization of 20864 in exponential form is:

20864 = 2⁷ × 163¹

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 20864

List of positive integer factors of 20864 that divides 20852 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 163, 326, 652, 1304, 2608, 5216, 10432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20852 and 20864. The biggest common factor number is the GCF number.
So the greatest common factor 20852 and 20864 is 4.

Also check out the Least Common Multiple of 20852 and 20864