What is the Greatest Common Factor of 21782 and 21791?

Greatest common factor (GCF) of 21782 and 21791 is 1.

GCF(21782,21791) = 1

We will now calculate the prime factors of 21782 and 21791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21782 and 21791.

How to find the GCF of 21782 and 21791?

We will first find the prime factorization of 21782 and 21791. After we will calculate the factors of 21782 and 21791 and find the biggest common factor number .

Step-1: Prime Factorization of 21782

Prime factors of 21782 are 2, 10891. Prime factorization of 21782 in exponential form is:

21782 = 2¹ × 10891¹

Step-2: Prime Factorization of 21791

Prime factors of 21791 are 7, 11, 283. Prime factorization of 21791 in exponential form is:

21791 = 7¹ × 11¹ × 283¹

Step-3: Factors of 21782

List of positive integer factors of 21782 that divides 21782 without a remainder.

1, 2, 10891

Step-4: Factors of 21791

List of positive integer factors of 21791 that divides 21782 without a remainder.

1, 7, 11, 77, 283, 1981, 3113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21782 and 21791. The biggest common factor number is the GCF number.
So the greatest common factor 21782 and 21791 is 1.

Also check out the Least Common Multiple of 21782 and 21791