What is the Greatest Common Factor of 21868 and 21882?

Greatest common factor (GCF) of 21868 and 21882 is 14.

GCF(21868,21882) = 14

We will now calculate the prime factors of 21868 and 21882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21868 and 21882.

How to find the GCF of 21868 and 21882?

We will first find the prime factorization of 21868 and 21882. After we will calculate the factors of 21868 and 21882 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 21882

Prime factors of 21882 are 2, 3, 7, 521. Prime factorization of 21882 in exponential form is:

21882 = 2¹ × 3¹ × 7¹ × 521¹

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 21882

List of positive integer factors of 21882 that divides 21868 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 521, 1042, 1563, 3126, 3647, 7294, 10941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21868 and 21882. The biggest common factor number is the GCF number.
So the greatest common factor 21868 and 21882 is 14.

Also check out the Least Common Multiple of 21868 and 21882