What is the Greatest Common Factor of 51440 and 51456?

Greatest common factor (GCF) of 51440 and 51456 is 16.

GCF(51440,51456) = 16

We will now calculate the prime factors of 51440 and 51456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51440 and 51456.

How to find the GCF of 51440 and 51456?

We will first find the prime factorization of 51440 and 51456. After we will calculate the factors of 51440 and 51456 and find the biggest common factor number .

Step-1: Prime Factorization of 51440

Prime factors of 51440 are 2, 5, 643. Prime factorization of 51440 in exponential form is:

51440 = 2⁴ × 5¹ × 643¹

Step-2: Prime Factorization of 51456

Prime factors of 51456 are 2, 3, 67. Prime factorization of 51456 in exponential form is:

51456 = 2⁸ × 3¹ × 67¹

Step-3: Factors of 51440

List of positive integer factors of 51440 that divides 51440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 643, 1286, 2572, 3215, 5144, 6430, 10288, 12860, 25720

Step-4: Factors of 51456

List of positive integer factors of 51456 that divides 51440 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 67, 96, 128, 134, 192, 201, 256, 268, 384, 402, 536, 768, 804, 1072, 1608, 2144, 3216, 4288, 6432, 8576, 12864, 17152, 25728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51440 and 51456. The biggest common factor number is the GCF number.
So the greatest common factor 51440 and 51456 is 16.

Also check out the Least Common Multiple of 51440 and 51456