What is the Greatest Common Factor of 21864 and 21874?

Greatest common factor (GCF) of 21864 and 21874 is 2.

GCF(21864,21874) = 2

We will now calculate the prime factors of 21864 and 21874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21864 and 21874.

How to find the GCF of 21864 and 21874?

We will first find the prime factorization of 21864 and 21874. After we will calculate the factors of 21864 and 21874 and find the biggest common factor number .

Step-1: Prime Factorization of 21864

Prime factors of 21864 are 2, 3, 911. Prime factorization of 21864 in exponential form is:

21864 = 2³ × 3¹ × 911¹

Step-2: Prime Factorization of 21874

Prime factors of 21874 are 2, 10937. Prime factorization of 21874 in exponential form is:

21874 = 2¹ × 10937¹

Step-3: Factors of 21864

List of positive integer factors of 21864 that divides 21864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 911, 1822, 2733, 3644, 5466, 7288, 10932

Step-4: Factors of 21874

List of positive integer factors of 21874 that divides 21864 without a remainder.

1, 2, 10937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21864 and 21874. The biggest common factor number is the GCF number.
So the greatest common factor 21864 and 21874 is 2.

Also check out the Least Common Multiple of 21864 and 21874