What is the Greatest Common Factor of 20864 and 20879?

Greatest common factor (GCF) of 20864 and 20879 is 1.

GCF(20864,20879) = 1

We will now calculate the prime factors of 20864 and 20879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20864 and 20879.

How to find the GCF of 20864 and 20879?

We will first find the prime factorization of 20864 and 20879. After we will calculate the factors of 20864 and 20879 and find the biggest common factor number .

Step-1: Prime Factorization of 20864

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

20864 = 2⁷ × 163¹

Step-2: Prime Factorization of 20879

Prime factors of 20879 are 20879. Prime factorization of 20879 in exponential form is:

20879 = 20879¹

Step-3: Factors of 20864

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

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

Step-4: Factors of 20879

List of positive integer factors of 20879 that divides 20864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20864 and 20879. The biggest common factor number is the GCF number.
So the greatest common factor 20864 and 20879 is 1.

Also check out the Least Common Multiple of 20864 and 20879