What is the Greatest Common Factor of 81744 and 81753?

Greatest common factor (GCF) of 81744 and 81753 is 3.

GCF(81744,81753) = 3

We will now calculate the prime factors of 81744 and 81753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81744 and 81753.

How to find the GCF of 81744 and 81753?

We will first find the prime factorization of 81744 and 81753. After we will calculate the factors of 81744 and 81753 and find the biggest common factor number .

Step-1: Prime Factorization of 81744

Prime factors of 81744 are 2, 3, 13, 131. Prime factorization of 81744 in exponential form is:

81744 = 2⁴ × 3¹ × 13¹ × 131¹

Step-2: Prime Factorization of 81753

Prime factors of 81753 are 3, 7, 17, 229. Prime factorization of 81753 in exponential form is:

81753 = 3¹ × 7¹ × 17¹ × 229¹

Step-3: Factors of 81744

List of positive integer factors of 81744 that divides 81744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 131, 156, 208, 262, 312, 393, 524, 624, 786, 1048, 1572, 1703, 2096, 3144, 3406, 5109, 6288, 6812, 10218, 13624, 20436, 27248, 40872

Step-4: Factors of 81753

List of positive integer factors of 81753 that divides 81744 without a remainder.

1, 3, 7, 17, 21, 51, 119, 229, 357, 687, 1603, 3893, 4809, 11679, 27251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81744 and 81753. The biggest common factor number is the GCF number.
So the greatest common factor 81744 and 81753 is 3.

Also check out the Least Common Multiple of 81744 and 81753