What is the Greatest Common Factor of 21807 and 21827?

Greatest common factor (GCF) of 21807 and 21827 is 1.

GCF(21807,21827) = 1

We will now calculate the prime factors of 21807 and 21827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21807 and 21827.

How to find the GCF of 21807 and 21827?

We will first find the prime factorization of 21807 and 21827. After we will calculate the factors of 21807 and 21827 and find the biggest common factor number .

Step-1: Prime Factorization of 21807

Prime factors of 21807 are 3, 2423. Prime factorization of 21807 in exponential form is:

21807 = 3² × 2423¹

Step-2: Prime Factorization of 21827

Prime factors of 21827 are 13, 23, 73. Prime factorization of 21827 in exponential form is:

21827 = 13¹ × 23¹ × 73¹

Step-3: Factors of 21807

List of positive integer factors of 21807 that divides 21807 without a remainder.

1, 3, 9, 2423, 7269

Step-4: Factors of 21827

List of positive integer factors of 21827 that divides 21807 without a remainder.

1, 13, 23, 73, 299, 949, 1679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21807 and 21827. The biggest common factor number is the GCF number.
So the greatest common factor 21807 and 21827 is 1.

Also check out the Least Common Multiple of 21807 and 21827