What is the Greatest Common Factor of 21841 and 21852?

Greatest common factor (GCF) of 21841 and 21852 is 1.

GCF(21841,21852) = 1

We will now calculate the prime factors of 21841 and 21852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21841 and 21852.

How to find the GCF of 21841 and 21852?

We will first find the prime factorization of 21841 and 21852. After we will calculate the factors of 21841 and 21852 and find the biggest common factor number .

Step-1: Prime Factorization of 21841

Prime factors of 21841 are 21841. Prime factorization of 21841 in exponential form is:

21841 = 21841¹

Step-2: Prime Factorization of 21852

Prime factors of 21852 are 2, 3, 607. Prime factorization of 21852 in exponential form is:

21852 = 2² × 3² × 607¹

Step-3: Factors of 21841

List of positive integer factors of 21841 that divides 21841 without a remainder.

Step-4: Factors of 21852

List of positive integer factors of 21852 that divides 21841 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 607, 1214, 1821, 2428, 3642, 5463, 7284, 10926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21841 and 21852. The biggest common factor number is the GCF number.
So the greatest common factor 21841 and 21852 is 1.

Also check out the Least Common Multiple of 21841 and 21852