What is the Greatest Common Factor of 81756 and 81768?

Greatest common factor (GCF) of 81756 and 81768 is 12.

GCF(81756,81768) = 12

We will now calculate the prime factors of 81756 and 81768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81756 and 81768.

How to find the GCF of 81756 and 81768?

We will first find the prime factorization of 81756 and 81768. After we will calculate the factors of 81756 and 81768 and find the biggest common factor number .

Step-1: Prime Factorization of 81756

Prime factors of 81756 are 2, 3, 757. Prime factorization of 81756 in exponential form is:

81756 = 2² × 3³ × 757¹

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 81756

List of positive integer factors of 81756 that divides 81756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 757, 1514, 2271, 3028, 4542, 6813, 9084, 13626, 20439, 27252, 40878

Step-4: Factors of 81768

List of positive integer factors of 81768 that divides 81756 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 81756 and 81768. The biggest common factor number is the GCF number.
So the greatest common factor 81756 and 81768 is 12.

Also check out the Least Common Multiple of 81756 and 81768