What is the Greatest Common Factor of 81753 and 81768?

Greatest common factor (GCF) of 81753 and 81768 is 3.

GCF(81753,81768) = 3

We will now calculate the prime factors of 81753 and 81768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81753 and 81768.

How to find the GCF of 81753 and 81768?

We will first find the prime factorization of 81753 and 81768. After we will calculate the factors of 81753 and 81768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81768

Prime factors of 81768 are 2, 3, 3407. Prime factorization of 81768 in exponential form is:

81768 = 2³ × 3¹ × 3407¹

Step-3: Factors of 81753

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

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

Step-4: Factors of 81768

List of positive integer factors of 81768 that divides 81753 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3407, 6814, 10221, 13628, 20442, 27256, 40884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81753 and 81768. The biggest common factor number is the GCF number.
So the greatest common factor 81753 and 81768 is 3.

Also check out the Least Common Multiple of 81753 and 81768