What is the Greatest Common Factor of 51456 and 51471?

Greatest common factor (GCF) of 51456 and 51471 is 3.

GCF(51456,51471) = 3

We will now calculate the prime factors of 51456 and 51471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51456 and 51471.

How to find the GCF of 51456 and 51471?

We will first find the prime factorization of 51456 and 51471. After we will calculate the factors of 51456 and 51471 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51471

Prime factors of 51471 are 3, 7, 19, 43. Prime factorization of 51471 in exponential form is:

51471 = 3² × 7¹ × 19¹ × 43¹

Step-3: Factors of 51456

List of positive integer factors of 51456 that divides 51456 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

Step-4: Factors of 51471

List of positive integer factors of 51471 that divides 51456 without a remainder.

1, 3, 7, 9, 19, 21, 43, 57, 63, 129, 133, 171, 301, 387, 399, 817, 903, 1197, 2451, 2709, 5719, 7353, 17157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51456 and 51471. The biggest common factor number is the GCF number.
So the greatest common factor 51456 and 51471 is 3.

Also check out the Least Common Multiple of 51456 and 51471