What is the Greatest Common Factor of 51056 and 51072?

Greatest common factor (GCF) of 51056 and 51072 is 16.

GCF(51056,51072) = 16

We will now calculate the prime factors of 51056 and 51072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51056 and 51072.

How to find the GCF of 51056 and 51072?

We will first find the prime factorization of 51056 and 51072. After we will calculate the factors of 51056 and 51072 and find the biggest common factor number .

Step-1: Prime Factorization of 51056

Prime factors of 51056 are 2, 3191. Prime factorization of 51056 in exponential form is:

51056 = 2⁴ × 3191¹

Step-2: Prime Factorization of 51072

Prime factors of 51072 are 2, 3, 7, 19. Prime factorization of 51072 in exponential form is:

51072 = 2⁷ × 3¹ × 7¹ × 19¹

Step-3: Factors of 51056

List of positive integer factors of 51056 that divides 51056 without a remainder.

1, 2, 4, 8, 16, 3191, 6382, 12764, 25528

Step-4: Factors of 51072

List of positive integer factors of 51072 that divides 51056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 32, 38, 42, 48, 56, 57, 64, 76, 84, 96, 112, 114, 128, 133, 152, 168, 192, 224, 228, 266, 304, 336, 384, 399, 448, 456, 532, 608, 672, 798, 896, 912, 1064, 1216, 1344, 1596, 1824, 2128, 2432, 2688, 3192, 3648, 4256, 6384, 7296, 8512, 12768, 17024, 25536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51056 and 51072. The biggest common factor number is the GCF number.
So the greatest common factor 51056 and 51072 is 16.

Also check out the Least Common Multiple of 51056 and 51072