What is the Greatest Common Factor of 81768 and 81780?

Greatest common factor (GCF) of 81768 and 81780 is 12.

GCF(81768,81780) = 12

We will now calculate the prime factors of 81768 and 81780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81768 and 81780.

How to find the GCF of 81768 and 81780?

We will first find the prime factorization of 81768 and 81780. After we will calculate the factors of 81768 and 81780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81780

Prime factors of 81780 are 2, 3, 5, 29, 47. Prime factorization of 81780 in exponential form is:

81780 = 2² × 3¹ × 5¹ × 29¹ × 47¹

Step-3: Factors of 81768

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

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

Step-4: Factors of 81780

List of positive integer factors of 81780 that divides 81768 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 47, 58, 60, 87, 94, 116, 141, 145, 174, 188, 235, 282, 290, 348, 435, 470, 564, 580, 705, 870, 940, 1363, 1410, 1740, 2726, 2820, 4089, 5452, 6815, 8178, 13630, 16356, 20445, 27260, 40890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81768 and 81780. The biggest common factor number is the GCF number.
So the greatest common factor 81768 and 81780 is 12.

Also check out the Least Common Multiple of 81768 and 81780