What is the Greatest Common Factor of 21768 and 21782?

Greatest common factor (GCF) of 21768 and 21782 is 2.

GCF(21768,21782) = 2

We will now calculate the prime factors of 21768 and 21782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21768 and 21782.

How to find the GCF of 21768 and 21782?

We will first find the prime factorization of 21768 and 21782. After we will calculate the factors of 21768 and 21782 and find the biggest common factor number .

Step-1: Prime Factorization of 21768

Prime factors of 21768 are 2, 3, 907. Prime factorization of 21768 in exponential form is:

21768 = 2³ × 3¹ × 907¹

Step-2: Prime Factorization of 21782

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

21782 = 2¹ × 10891¹

Step-3: Factors of 21768

List of positive integer factors of 21768 that divides 21768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 907, 1814, 2721, 3628, 5442, 7256, 10884

Step-4: Factors of 21782

List of positive integer factors of 21782 that divides 21768 without a remainder.

1, 2, 10891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21768 and 21782. The biggest common factor number is the GCF number.
So the greatest common factor 21768 and 21782 is 2.

Also check out the Least Common Multiple of 21768 and 21782