What is the Greatest Common Factor of 20787 and 20801?

Greatest common factor (GCF) of 20787 and 20801 is 1.

GCF(20787,20801) = 1

We will now calculate the prime factors of 20787 and 20801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20787 and 20801.

How to find the GCF of 20787 and 20801?

We will first find the prime factorization of 20787 and 20801. After we will calculate the factors of 20787 and 20801 and find the biggest common factor number .

Step-1: Prime Factorization of 20787

Prime factors of 20787 are 3, 13, 41. Prime factorization of 20787 in exponential form is:

20787 = 3¹ × 13² × 41¹

Step-2: Prime Factorization of 20801

Prime factors of 20801 are 11, 31, 61. Prime factorization of 20801 in exponential form is:

20801 = 11¹ × 31¹ × 61¹

Step-3: Factors of 20787

List of positive integer factors of 20787 that divides 20787 without a remainder.

1, 3, 13, 39, 41, 123, 169, 507, 533, 1599, 6929

Step-4: Factors of 20801

List of positive integer factors of 20801 that divides 20787 without a remainder.

1, 11, 31, 61, 341, 671, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20787 and 20801. The biggest common factor number is the GCF number.
So the greatest common factor 20787 and 20801 is 1.

Also check out the Least Common Multiple of 20787 and 20801