What is the Greatest Common Factor of 81759 and 81774?

Greatest common factor (GCF) of 81759 and 81774 is 3.

GCF(81759,81774) = 3

We will now calculate the prime factors of 81759 and 81774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81759 and 81774.

How to find the GCF of 81759 and 81774?

We will first find the prime factorization of 81759 and 81774. After we will calculate the factors of 81759 and 81774 and find the biggest common factor number .

Step-1: Prime Factorization of 81759

Prime factors of 81759 are 3, 27253. Prime factorization of 81759 in exponential form is:

81759 = 3¹ × 27253¹

Step-2: Prime Factorization of 81774

Prime factors of 81774 are 2, 3, 7, 11, 59. Prime factorization of 81774 in exponential form is:

81774 = 2¹ × 3² × 7¹ × 11¹ × 59¹

Step-3: Factors of 81759

List of positive integer factors of 81759 that divides 81759 without a remainder.

1, 3, 27253

Step-4: Factors of 81774

List of positive integer factors of 81774 that divides 81759 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 59, 63, 66, 77, 99, 118, 126, 154, 177, 198, 231, 354, 413, 462, 531, 649, 693, 826, 1062, 1239, 1298, 1386, 1947, 2478, 3717, 3894, 4543, 5841, 7434, 9086, 11682, 13629, 27258, 40887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81759 and 81774. The biggest common factor number is the GCF number.
So the greatest common factor 81759 and 81774 is 3.

Also check out the Least Common Multiple of 81759 and 81774