What is the Greatest Common Factor of 20787 and 20803?

Greatest common factor (GCF) of 20787 and 20803 is 1.

GCF(20787,20803) = 1

We will now calculate the prime factors of 20787 and 20803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20787 and 20803.

How to find the GCF of 20787 and 20803?

We will first find the prime factorization of 20787 and 20803. After we will calculate the factors of 20787 and 20803 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 20803

Prime factors of 20803 are 71, 293. Prime factorization of 20803 in exponential form is:

20803 = 71¹ × 293¹

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 20803

List of positive integer factors of 20803 that divides 20787 without a remainder.

1, 71, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20787 and 20803. The biggest common factor number is the GCF number.
So the greatest common factor 20787 and 20803 is 1.

Also check out the Least Common Multiple of 20787 and 20803