What is the Greatest Common Factor of 21056 and 21076?

Greatest common factor (GCF) of 21056 and 21076 is 4.

GCF(21056,21076) = 4

We will now calculate the prime factors of 21056 and 21076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21056 and 21076.

How to find the GCF of 21056 and 21076?

We will first find the prime factorization of 21056 and 21076. After we will calculate the factors of 21056 and 21076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21076

Prime factors of 21076 are 2, 11, 479. Prime factorization of 21076 in exponential form is:

21076 = 2² × 11¹ × 479¹

Step-3: Factors of 21056

List of positive integer factors of 21056 that divides 21056 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

Step-4: Factors of 21076

List of positive integer factors of 21076 that divides 21056 without a remainder.

1, 2, 4, 11, 22, 44, 479, 958, 1916, 5269, 10538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21056 and 21076. The biggest common factor number is the GCF number.
So the greatest common factor 21056 and 21076 is 4.

Also check out the Least Common Multiple of 21056 and 21076