What is the Greatest Common Factor of 20782 and 20795?

Greatest common factor (GCF) of 20782 and 20795 is 1.

GCF(20782,20795) = 1

We will now calculate the prime factors of 20782 and 20795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20782 and 20795.

How to find the GCF of 20782 and 20795?

We will first find the prime factorization of 20782 and 20795. After we will calculate the factors of 20782 and 20795 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 20795

Prime factors of 20795 are 5, 4159. Prime factorization of 20795 in exponential form is:

20795 = 5¹ × 4159¹

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 20795

List of positive integer factors of 20795 that divides 20782 without a remainder.

1, 5, 4159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20782 and 20795. The biggest common factor number is the GCF number.
So the greatest common factor 20782 and 20795 is 1.

Also check out the Least Common Multiple of 20782 and 20795