What is the Greatest Common Factor of 21887 and 21906?

Greatest common factor (GCF) of 21887 and 21906 is 1.

GCF(21887,21906) = 1

We will now calculate the prime factors of 21887 and 21906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21887 and 21906.

How to find the GCF of 21887 and 21906?

We will first find the prime factorization of 21887 and 21906. After we will calculate the factors of 21887 and 21906 and find the biggest common factor number .

Step-1: Prime Factorization of 21887

Prime factors of 21887 are 43, 509. Prime factorization of 21887 in exponential form is:

21887 = 43¹ × 509¹

Step-2: Prime Factorization of 21906

Prime factors of 21906 are 2, 3, 1217. Prime factorization of 21906 in exponential form is:

21906 = 2¹ × 3² × 1217¹

Step-3: Factors of 21887

List of positive integer factors of 21887 that divides 21887 without a remainder.

1, 43, 509

Step-4: Factors of 21906

List of positive integer factors of 21906 that divides 21887 without a remainder.

1, 2, 3, 6, 9, 18, 1217, 2434, 3651, 7302, 10953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21887 and 21906. The biggest common factor number is the GCF number.
So the greatest common factor 21887 and 21906 is 1.

Also check out the Least Common Multiple of 21887 and 21906