What is the Greatest Common Factor of 21788 and 21801?

Greatest common factor (GCF) of 21788 and 21801 is 13.

GCF(21788,21801) = 13

We will now calculate the prime factors of 21788 and 21801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21788 and 21801.

How to find the GCF of 21788 and 21801?

We will first find the prime factorization of 21788 and 21801. After we will calculate the factors of 21788 and 21801 and find the biggest common factor number .

Step-1: Prime Factorization of 21788

Prime factors of 21788 are 2, 13, 419. Prime factorization of 21788 in exponential form is:

21788 = 2² × 13¹ × 419¹

Step-2: Prime Factorization of 21801

Prime factors of 21801 are 3, 13, 43. Prime factorization of 21801 in exponential form is:

21801 = 3¹ × 13² × 43¹

Step-3: Factors of 21788

List of positive integer factors of 21788 that divides 21788 without a remainder.

1, 2, 4, 13, 26, 52, 419, 838, 1676, 5447, 10894

Step-4: Factors of 21801

List of positive integer factors of 21801 that divides 21788 without a remainder.

1, 3, 13, 39, 43, 129, 169, 507, 559, 1677, 7267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21788 and 21801. The biggest common factor number is the GCF number.
So the greatest common factor 21788 and 21801 is 13.

Also check out the Least Common Multiple of 21788 and 21801