What is the Greatest Common Factor of 21936 and 21941?

Greatest common factor (GCF) of 21936 and 21941 is 1.

GCF(21936,21941) = 1

We will now calculate the prime factors of 21936 and 21941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21936 and 21941.

How to find the GCF of 21936 and 21941?

We will first find the prime factorization of 21936 and 21941. After we will calculate the factors of 21936 and 21941 and find the biggest common factor number .

Step-1: Prime Factorization of 21936

Prime factors of 21936 are 2, 3, 457. Prime factorization of 21936 in exponential form is:

21936 = 2⁴ × 3¹ × 457¹

Step-2: Prime Factorization of 21941

Prime factors of 21941 are 37, 593. Prime factorization of 21941 in exponential form is:

21941 = 37¹ × 593¹

Step-3: Factors of 21936

List of positive integer factors of 21936 that divides 21936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968

Step-4: Factors of 21941

List of positive integer factors of 21941 that divides 21936 without a remainder.

1, 37, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21936 and 21941. The biggest common factor number is the GCF number.
So the greatest common factor 21936 and 21941 is 1.

Also check out the Least Common Multiple of 21936 and 21941