What is the Greatest Common Factor of 21040 and 21044?

Greatest common factor (GCF) of 21040 and 21044 is 4.

GCF(21040,21044) = 4

We will now calculate the prime factors of 21040 and 21044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21040 and 21044.

How to find the GCF of 21040 and 21044?

We will first find the prime factorization of 21040 and 21044. After we will calculate the factors of 21040 and 21044 and find the biggest common factor number .

Step-1: Prime Factorization of 21040

Prime factors of 21040 are 2, 5, 263. Prime factorization of 21040 in exponential form is:

21040 = 2⁴ × 5¹ × 263¹

Step-2: Prime Factorization of 21044

Prime factors of 21044 are 2, 5261. Prime factorization of 21044 in exponential form is:

21044 = 2² × 5261¹

Step-3: Factors of 21040

List of positive integer factors of 21040 that divides 21040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 263, 526, 1052, 1315, 2104, 2630, 4208, 5260, 10520

Step-4: Factors of 21044

List of positive integer factors of 21044 that divides 21040 without a remainder.

1, 2, 4, 5261, 10522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21040 and 21044. The biggest common factor number is the GCF number.
So the greatest common factor 21040 and 21044 is 4.

Also check out the Least Common Multiple of 21040 and 21044