What is the Greatest Common Factor of 21870 and 21880?

Greatest common factor (GCF) of 21870 and 21880 is 10.

GCF(21870,21880) = 10

We will now calculate the prime factors of 21870 and 21880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21870 and 21880.

How to find the GCF of 21870 and 21880?

We will first find the prime factorization of 21870 and 21880. After we will calculate the factors of 21870 and 21880 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 21880

Prime factors of 21880 are 2, 5, 547. Prime factorization of 21880 in exponential form is:

21880 = 2³ × 5¹ × 547¹

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 21880

List of positive integer factors of 21880 that divides 21870 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 547, 1094, 2188, 2735, 4376, 5470, 10940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21870 and 21880. The biggest common factor number is the GCF number.
So the greatest common factor 21870 and 21880 is 10.

Also check out the Least Common Multiple of 21870 and 21880