What is the Greatest Common Factor of 21024 and 21032?

Greatest common factor (GCF) of 21024 and 21032 is 8.

GCF(21024,21032) = 8

We will now calculate the prime factors of 21024 and 21032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21024 and 21032.

How to find the GCF of 21024 and 21032?

We will first find the prime factorization of 21024 and 21032. After we will calculate the factors of 21024 and 21032 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 21032

Prime factors of 21032 are 2, 11, 239. Prime factorization of 21032 in exponential form is:

21032 = 2³ × 11¹ × 239¹

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 21032

List of positive integer factors of 21032 that divides 21024 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 239, 478, 956, 1912, 2629, 5258, 10516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21024 and 21032. The biggest common factor number is the GCF number.
So the greatest common factor 21024 and 21032 is 8.

Also check out the Least Common Multiple of 21024 and 21032