What is the Greatest Common Factor of 20782 and 20787?

Greatest common factor (GCF) of 20782 and 20787 is 1.

GCF(20782,20787) = 1

We will now calculate the prime factors of 20782 and 20787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20782 and 20787.

How to find the GCF of 20782 and 20787?

We will first find the prime factorization of 20782 and 20787. After we will calculate the factors of 20782 and 20787 and find the biggest common factor number .

Step-1: Prime Factorization of 20782

Prime factors of 20782 are 2, 10391. Prime factorization of 20782 in exponential form is:

20782 = 2¹ × 10391¹

Step-2: 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-3: Factors of 20782

List of positive integer factors of 20782 that divides 20782 without a remainder.

1, 2, 10391

Step-4: Factors of 20787

List of positive integer factors of 20787 that divides 20782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20782 and 20787. The biggest common factor number is the GCF number.
So the greatest common factor 20782 and 20787 is 1.

Also check out the Least Common Multiple of 20782 and 20787