What is the Greatest Common Factor of 63728 and 63744?

Greatest common factor (GCF) of 63728 and 63744 is 16.

GCF(63728,63744) = 16

We will now calculate the prime factors of 63728 and 63744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63728 and 63744.

How to find the GCF of 63728 and 63744?

We will first find the prime factorization of 63728 and 63744. After we will calculate the factors of 63728 and 63744 and find the biggest common factor number .

Step-1: Prime Factorization of 63728

Prime factors of 63728 are 2, 7, 569. Prime factorization of 63728 in exponential form is:

63728 = 2⁴ × 7¹ × 569¹

Step-2: Prime Factorization of 63744

Prime factors of 63744 are 2, 3, 83. Prime factorization of 63744 in exponential form is:

63744 = 2⁸ × 3¹ × 83¹

Step-3: Factors of 63728

List of positive integer factors of 63728 that divides 63728 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 569, 1138, 2276, 3983, 4552, 7966, 9104, 15932, 31864

Step-4: Factors of 63744

List of positive integer factors of 63744 that divides 63728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 83, 96, 128, 166, 192, 249, 256, 332, 384, 498, 664, 768, 996, 1328, 1992, 2656, 3984, 5312, 7968, 10624, 15936, 21248, 31872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63728 and 63744. The biggest common factor number is the GCF number.
So the greatest common factor 63728 and 63744 is 16.

Also check out the Least Common Multiple of 63728 and 63744