What is the Greatest Common Factor of 21827 and 21832?

Greatest common factor (GCF) of 21827 and 21832 is 1.

GCF(21827,21832) = 1

We will now calculate the prime factors of 21827 and 21832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21827 and 21832.

How to find the GCF of 21827 and 21832?

We will first find the prime factorization of 21827 and 21832. After we will calculate the factors of 21827 and 21832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21832

Prime factors of 21832 are 2, 2729. Prime factorization of 21832 in exponential form is:

21832 = 2³ × 2729¹

Step-3: Factors of 21827

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

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

Step-4: Factors of 21832

List of positive integer factors of 21832 that divides 21827 without a remainder.

1, 2, 4, 8, 2729, 5458, 10916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21827 and 21832. The biggest common factor number is the GCF number.
So the greatest common factor 21827 and 21832 is 1.

Also check out the Least Common Multiple of 21827 and 21832