What is the Greatest Common Factor of 21024 and 21043?

Greatest common factor (GCF) of 21024 and 21043 is 1.

GCF(21024,21043) = 1

We will now calculate the prime factors of 21024 and 21043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21024 and 21043.

How to find the GCF of 21024 and 21043?

We will first find the prime factorization of 21024 and 21043. After we will calculate the factors of 21024 and 21043 and find the biggest common factor number .

Step-1: Prime Factorization of 21024

Prime factors of 21024 are 2, 3, 73. Prime factorization of 21024 in exponential form is:

21024 = 2⁵ × 3² × 73¹

Step-2: Prime Factorization of 21043

Prime factors of 21043 are 11, 1913. Prime factorization of 21043 in exponential form is:

21043 = 11¹ × 1913¹

Step-3: Factors of 21024

List of positive integer factors of 21024 that divides 21024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 73, 96, 144, 146, 219, 288, 292, 438, 584, 657, 876, 1168, 1314, 1752, 2336, 2628, 3504, 5256, 7008, 10512

Step-4: Factors of 21043

List of positive integer factors of 21043 that divides 21024 without a remainder.

1, 11, 1913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21024 and 21043. The biggest common factor number is the GCF number.
So the greatest common factor 21024 and 21043 is 1.

Also check out the Least Common Multiple of 21024 and 21043