What is the Greatest Common Factor of 21870 and 21886?

Greatest common factor (GCF) of 21870 and 21886 is 2.

GCF(21870,21886) = 2

We will now calculate the prime factors of 21870 and 21886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21870 and 21886.

How to find the GCF of 21870 and 21886?

We will first find the prime factorization of 21870 and 21886. After we will calculate the factors of 21870 and 21886 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 21886

Prime factors of 21886 are 2, 31, 353. Prime factorization of 21886 in exponential form is:

21886 = 2¹ × 31¹ × 353¹

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 21886

List of positive integer factors of 21886 that divides 21870 without a remainder.

1, 2, 31, 62, 353, 706, 10943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21870 and 21886. The biggest common factor number is the GCF number.
So the greatest common factor 21870 and 21886 is 2.

Also check out the Least Common Multiple of 21870 and 21886