What is the Greatest Common Factor of 63744 and 63750?

Greatest common factor (GCF) of 63744 and 63750 is 6.

GCF(63744,63750) = 6

We will now calculate the prime factors of 63744 and 63750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63744 and 63750.

How to find the GCF of 63744 and 63750?

We will first find the prime factorization of 63744 and 63750. After we will calculate the factors of 63744 and 63750 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63750

Prime factors of 63750 are 2, 3, 5, 17. Prime factorization of 63750 in exponential form is:

63750 = 2¹ × 3¹ × 5⁴ × 17¹

Step-3: Factors of 63744

List of positive integer factors of 63744 that divides 63744 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

Step-4: Factors of 63750

List of positive integer factors of 63750 that divides 63744 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 125, 150, 170, 250, 255, 375, 425, 510, 625, 750, 850, 1250, 1275, 1875, 2125, 2550, 3750, 4250, 6375, 10625, 12750, 21250, 31875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63744 and 63750. The biggest common factor number is the GCF number.
So the greatest common factor 63744 and 63750 is 6.

Also check out the Least Common Multiple of 63744 and 63750