What is the Greatest Common Factor of 21863 and 21868?

Greatest common factor (GCF) of 21863 and 21868 is 1.

GCF(21863,21868) = 1

We will now calculate the prime factors of 21863 and 21868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21863 and 21868.

How to find the GCF of 21863 and 21868?

We will first find the prime factorization of 21863 and 21868. After we will calculate the factors of 21863 and 21868 and find the biggest common factor number .

Step-1: Prime Factorization of 21863

Prime factors of 21863 are 21863. Prime factorization of 21863 in exponential form is:

21863 = 21863¹

Step-2: Prime Factorization of 21868

Prime factors of 21868 are 2, 7, 11, 71. Prime factorization of 21868 in exponential form is:

21868 = 2² × 7¹ × 11¹ × 71¹

Step-3: Factors of 21863

List of positive integer factors of 21863 that divides 21863 without a remainder.

Step-4: Factors of 21868

List of positive integer factors of 21868 that divides 21863 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 71, 77, 142, 154, 284, 308, 497, 781, 994, 1562, 1988, 3124, 5467, 10934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21863 and 21868. The biggest common factor number is the GCF number.
So the greatest common factor 21863 and 21868 is 1.

Also check out the Least Common Multiple of 21863 and 21868