What is the Greatest Common Factor of 51744 and 51754?

Greatest common factor (GCF) of 51744 and 51754 is 2.

GCF(51744,51754) = 2

We will now calculate the prime factors of 51744 and 51754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51744 and 51754.

How to find the GCF of 51744 and 51754?

We will first find the prime factorization of 51744 and 51754. After we will calculate the factors of 51744 and 51754 and find the biggest common factor number .

Step-1: Prime Factorization of 51744

Prime factors of 51744 are 2, 3, 7, 11. Prime factorization of 51744 in exponential form is:

51744 = 2⁵ × 3¹ × 7² × 11¹

Step-2: Prime Factorization of 51754

Prime factors of 51754 are 2, 113, 229. Prime factorization of 51754 in exponential form is:

51754 = 2¹ × 113¹ × 229¹

Step-3: Factors of 51744

List of positive integer factors of 51744 that divides 51744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 49, 56, 66, 77, 84, 88, 96, 98, 112, 132, 147, 154, 168, 176, 196, 224, 231, 264, 294, 308, 336, 352, 392, 462, 528, 539, 588, 616, 672, 784, 924, 1056, 1078, 1176, 1232, 1568, 1617, 1848, 2156, 2352, 2464, 3234, 3696, 4312, 4704, 6468, 7392, 8624, 12936, 17248, 25872

Step-4: Factors of 51754

List of positive integer factors of 51754 that divides 51744 without a remainder.

1, 2, 113, 226, 229, 458, 25877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51744 and 51754. The biggest common factor number is the GCF number.
So the greatest common factor 51744 and 51754 is 2.

Also check out the Least Common Multiple of 51744 and 51754