What is the Greatest Common Factor of 21868 and 21878?

Greatest common factor (GCF) of 21868 and 21878 is 2.

GCF(21868,21878) = 2

We will now calculate the prime factors of 21868 and 21878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21868 and 21878.

How to find the GCF of 21868 and 21878?

We will first find the prime factorization of 21868 and 21878. After we will calculate the factors of 21868 and 21878 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21878

Prime factors of 21878 are 2, 10939. Prime factorization of 21878 in exponential form is:

21878 = 2¹ × 10939¹

Step-3: Factors of 21868

List of positive integer factors of 21868 that divides 21868 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

Step-4: Factors of 21878

List of positive integer factors of 21878 that divides 21868 without a remainder.

1, 2, 10939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21868 and 21878. The biggest common factor number is the GCF number.
So the greatest common factor 21868 and 21878 is 2.

Also check out the Least Common Multiple of 21868 and 21878