What is the Greatest Common Factor of 21822 and 21827?

Greatest common factor (GCF) of 21822 and 21827 is 1.

GCF(21822,21827) = 1

We will now calculate the prime factors of 21822 and 21827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21822 and 21827.

How to find the GCF of 21822 and 21827?

We will first find the prime factorization of 21822 and 21827. After we will calculate the factors of 21822 and 21827 and find the biggest common factor number .

Step-1: Prime Factorization of 21822

Prime factors of 21822 are 2, 3, 3637. Prime factorization of 21822 in exponential form is:

21822 = 2¹ × 3¹ × 3637¹

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 21822

List of positive integer factors of 21822 that divides 21822 without a remainder.

1, 2, 3, 6, 3637, 7274, 10911

Step-4: Factors of 21827

List of positive integer factors of 21827 that divides 21822 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21822 and 21827. The biggest common factor number is the GCF number.
So the greatest common factor 21822 and 21827 is 1.

Also check out the Least Common Multiple of 21822 and 21827