What is the Greatest Common Factor of 63733 and 63744?

Greatest common factor (GCF) of 63733 and 63744 is 1.

GCF(63733,63744) = 1

We will now calculate the prime factors of 63733 and 63744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63733 and 63744.

How to find the GCF of 63733 and 63744?

We will first find the prime factorization of 63733 and 63744. After we will calculate the factors of 63733 and 63744 and find the biggest common factor number .

Step-1: Prime Factorization of 63733

Prime factors of 63733 are 17, 23, 163. Prime factorization of 63733 in exponential form is:

63733 = 17¹ × 23¹ × 163¹

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 63733

List of positive integer factors of 63733 that divides 63733 without a remainder.

1, 17, 23, 163, 391, 2771, 3749

Step-4: Factors of 63744

List of positive integer factors of 63744 that divides 63733 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 63733 and 63744. The biggest common factor number is the GCF number.
So the greatest common factor 63733 and 63744 is 1.

Also check out the Least Common Multiple of 63733 and 63744