What is the Greatest Common Factor of 63738 and 63744?

Greatest common factor (GCF) of 63738 and 63744 is 6.

GCF(63738,63744) = 6

We will now calculate the prime factors of 63738 and 63744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63738 and 63744.

How to find the GCF of 63738 and 63744?

We will first find the prime factorization of 63738 and 63744. After we will calculate the factors of 63738 and 63744 and find the biggest common factor number .

Step-1: Prime Factorization of 63738

Prime factors of 63738 are 2, 3, 3541. Prime factorization of 63738 in exponential form is:

63738 = 2¹ × 3² × 3541¹

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 63738

List of positive integer factors of 63738 that divides 63738 without a remainder.

1, 2, 3, 6, 9, 18, 3541, 7082, 10623, 21246, 31869

Step-4: Factors of 63744

List of positive integer factors of 63744 that divides 63738 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 63738 and 63744. The biggest common factor number is the GCF number.
So the greatest common factor 63738 and 63744 is 6.

Also check out the Least Common Multiple of 63738 and 63744