What is the Greatest Common Factor of 21870 and 21884?

Greatest common factor (GCF) of 21870 and 21884 is 2.

GCF(21870,21884) = 2

We will now calculate the prime factors of 21870 and 21884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21870 and 21884.

How to find the GCF of 21870 and 21884?

We will first find the prime factorization of 21870 and 21884. After we will calculate the factors of 21870 and 21884 and find the biggest common factor number .

Step-1: Prime Factorization of 21870

Prime factors of 21870 are 2, 3, 5. Prime factorization of 21870 in exponential form is:

21870 = 2¹ × 3⁷ × 5¹

Step-2: Prime Factorization of 21884

Prime factors of 21884 are 2, 5471. Prime factorization of 21884 in exponential form is:

21884 = 2² × 5471¹

Step-3: Factors of 21870

List of positive integer factors of 21870 that divides 21870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2187, 2430, 3645, 4374, 7290, 10935

Step-4: Factors of 21884

List of positive integer factors of 21884 that divides 21870 without a remainder.

1, 2, 4, 5471, 10942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21870 and 21884. The biggest common factor number is the GCF number.
So the greatest common factor 21870 and 21884 is 2.

Also check out the Least Common Multiple of 21870 and 21884