What is the Greatest Common Factor of 20851 and 20864?

Greatest common factor (GCF) of 20851 and 20864 is 1.

GCF(20851,20864) = 1

We will now calculate the prime factors of 20851 and 20864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20851 and 20864.

How to find the GCF of 20851 and 20864?

We will first find the prime factorization of 20851 and 20864. After we will calculate the factors of 20851 and 20864 and find the biggest common factor number .

Step-1: Prime Factorization of 20851

Prime factors of 20851 are 29, 719. Prime factorization of 20851 in exponential form is:

20851 = 29¹ × 719¹

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 20851

List of positive integer factors of 20851 that divides 20851 without a remainder.

1, 29, 719

Step-4: Factors of 20864

List of positive integer factors of 20864 that divides 20851 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 20851 and 20864. The biggest common factor number is the GCF number.
So the greatest common factor 20851 and 20864 is 1.

Also check out the Least Common Multiple of 20851 and 20864