What is the Greatest Common Factor of 23814 and 23821?

Greatest common factor (GCF) of 23814 and 23821 is 7.

GCF(23814,23821) = 7

We will now calculate the prime factors of 23814 and 23821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23814 and 23821.

How to find the GCF of 23814 and 23821?

We will first find the prime factorization of 23814 and 23821. After we will calculate the factors of 23814 and 23821 and find the biggest common factor number .

Step-1: Prime Factorization of 23814

Prime factors of 23814 are 2, 3, 7. Prime factorization of 23814 in exponential form is:

23814 = 2¹ × 3⁵ × 7²

Step-2: Prime Factorization of 23821

Prime factors of 23821 are 7, 41, 83. Prime factorization of 23821 in exponential form is:

23821 = 7¹ × 41¹ × 83¹

Step-3: Factors of 23814

List of positive integer factors of 23814 that divides 23814 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 243, 294, 378, 441, 486, 567, 882, 1134, 1323, 1701, 2646, 3402, 3969, 7938, 11907

Step-4: Factors of 23821

List of positive integer factors of 23821 that divides 23814 without a remainder.

1, 7, 41, 83, 287, 581, 3403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23814 and 23821. The biggest common factor number is the GCF number.
So the greatest common factor 23814 and 23821 is 7.

Also check out the Least Common Multiple of 23814 and 23821