What is the Greatest Common Factor of 20769 and 20781?

Greatest common factor (GCF) of 20769 and 20781 is 3.

GCF(20769,20781) = 3

We will now calculate the prime factors of 20769 and 20781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20769 and 20781.

How to find the GCF of 20769 and 20781?

We will first find the prime factorization of 20769 and 20781. After we will calculate the factors of 20769 and 20781 and find the biggest common factor number .

Step-1: Prime Factorization of 20769

Prime factors of 20769 are 3, 7, 23, 43. Prime factorization of 20769 in exponential form is:

20769 = 3¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 20781

Prime factors of 20781 are 3, 2309. Prime factorization of 20781 in exponential form is:

20781 = 3² × 2309¹

Step-3: Factors of 20769

List of positive integer factors of 20769 that divides 20769 without a remainder.

1, 3, 7, 21, 23, 43, 69, 129, 161, 301, 483, 903, 989, 2967, 6923

Step-4: Factors of 20781

List of positive integer factors of 20781 that divides 20769 without a remainder.

1, 3, 9, 2309, 6927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20769 and 20781. The biggest common factor number is the GCF number.
So the greatest common factor 20769 and 20781 is 3.

Also check out the Least Common Multiple of 20769 and 20781