What is the Greatest Common Factor of 81764 and 81768?

Greatest common factor (GCF) of 81764 and 81768 is 4.

GCF(81764,81768) = 4

We will now calculate the prime factors of 81764 and 81768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81764 and 81768.

How to find the GCF of 81764 and 81768?

We will first find the prime factorization of 81764 and 81768. After we will calculate the factors of 81764 and 81768 and find the biggest common factor number .

Step-1: Prime Factorization of 81764

Prime factors of 81764 are 2, 20441. Prime factorization of 81764 in exponential form is:

81764 = 2² × 20441¹

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 81764

List of positive integer factors of 81764 that divides 81764 without a remainder.

1, 2, 4, 20441, 40882

Step-4: Factors of 81768

List of positive integer factors of 81768 that divides 81764 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 81764 and 81768. The biggest common factor number is the GCF number.
So the greatest common factor 81764 and 81768 is 4.

Also check out the Least Common Multiple of 81764 and 81768