What is the Greatest Common Factor of 51456 and 51470?

Greatest common factor (GCF) of 51456 and 51470 is 2.

GCF(51456,51470) = 2

We will now calculate the prime factors of 51456 and 51470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51456 and 51470.

How to find the GCF of 51456 and 51470?

We will first find the prime factorization of 51456 and 51470. After we will calculate the factors of 51456 and 51470 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 51470

Prime factors of 51470 are 2, 5, 5147. Prime factorization of 51470 in exponential form is:

51470 = 2¹ × 5¹ × 5147¹

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 51470

List of positive integer factors of 51470 that divides 51456 without a remainder.

1, 2, 5, 10, 5147, 10294, 25735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51456 and 51470. The biggest common factor number is the GCF number.
So the greatest common factor 51456 and 51470 is 2.

Also check out the Least Common Multiple of 51456 and 51470