What is the Greatest Common Factor of 21777 and 21783?

Greatest common factor (GCF) of 21777 and 21783 is 3.

GCF(21777,21783) = 3

We will now calculate the prime factors of 21777 and 21783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21777 and 21783.

How to find the GCF of 21777 and 21783?

We will first find the prime factorization of 21777 and 21783. After we will calculate the factors of 21777 and 21783 and find the biggest common factor number .

Step-1: Prime Factorization of 21777

Prime factors of 21777 are 3, 7, 17, 61. Prime factorization of 21777 in exponential form is:

21777 = 3¹ × 7¹ × 17¹ × 61¹

Step-2: Prime Factorization of 21783

Prime factors of 21783 are 3, 53, 137. Prime factorization of 21783 in exponential form is:

21783 = 3¹ × 53¹ × 137¹

Step-3: Factors of 21777

List of positive integer factors of 21777 that divides 21777 without a remainder.

1, 3, 7, 17, 21, 51, 61, 119, 183, 357, 427, 1037, 1281, 3111, 7259

Step-4: Factors of 21783

List of positive integer factors of 21783 that divides 21777 without a remainder.

1, 3, 53, 137, 159, 411, 7261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21777 and 21783. The biggest common factor number is the GCF number.
So the greatest common factor 21777 and 21783 is 3.

Also check out the Least Common Multiple of 21777 and 21783