What is the Greatest Common Factor of 21870 and 21883?

Greatest common factor (GCF) of 21870 and 21883 is 1.

GCF(21870,21883) = 1

We will now calculate the prime factors of 21870 and 21883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21870 and 21883.

How to find the GCF of 21870 and 21883?

We will first find the prime factorization of 21870 and 21883. After we will calculate the factors of 21870 and 21883 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 21883

Prime factors of 21883 are 79, 277. Prime factorization of 21883 in exponential form is:

21883 = 79¹ × 277¹

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 21883

List of positive integer factors of 21883 that divides 21870 without a remainder.

1, 79, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21870 and 21883. The biggest common factor number is the GCF number.
So the greatest common factor 21870 and 21883 is 1.

Also check out the Least Common Multiple of 21870 and 21883