What is the Greatest Common Factor of 21036 and 21056?

Greatest common factor (GCF) of 21036 and 21056 is 4.

GCF(21036,21056) = 4

We will now calculate the prime factors of 21036 and 21056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21036 and 21056.

How to find the GCF of 21036 and 21056?

We will first find the prime factorization of 21036 and 21056. After we will calculate the factors of 21036 and 21056 and find the biggest common factor number .

Step-1: Prime Factorization of 21036

Prime factors of 21036 are 2, 3, 1753. Prime factorization of 21036 in exponential form is:

21036 = 2² × 3¹ × 1753¹

Step-2: Prime Factorization of 21056

Prime factors of 21056 are 2, 7, 47. Prime factorization of 21056 in exponential form is:

21056 = 2⁶ × 7¹ × 47¹

Step-3: Factors of 21036

List of positive integer factors of 21036 that divides 21036 without a remainder.

1, 2, 3, 4, 6, 12, 1753, 3506, 5259, 7012, 10518

Step-4: Factors of 21056

List of positive integer factors of 21056 that divides 21036 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 188, 224, 329, 376, 448, 658, 752, 1316, 1504, 2632, 3008, 5264, 10528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21036 and 21056. The biggest common factor number is the GCF number.
So the greatest common factor 21036 and 21056 is 4.

Also check out the Least Common Multiple of 21036 and 21056