What is the Greatest Common Factor of 21056 and 21074?

Greatest common factor (GCF) of 21056 and 21074 is 2.

GCF(21056,21074) = 2

We will now calculate the prime factors of 21056 and 21074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21056 and 21074.

How to find the GCF of 21056 and 21074?

We will first find the prime factorization of 21056 and 21074. After we will calculate the factors of 21056 and 21074 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 21074

Prime factors of 21074 are 2, 41, 257. Prime factorization of 21074 in exponential form is:

21074 = 2¹ × 41¹ × 257¹

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 21074

List of positive integer factors of 21074 that divides 21056 without a remainder.

1, 2, 41, 82, 257, 514, 10537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21056 and 21074. The biggest common factor number is the GCF number.
So the greatest common factor 21056 and 21074 is 2.

Also check out the Least Common Multiple of 21056 and 21074