What is the Greatest Common Factor of 81756 and 81774?

Greatest common factor (GCF) of 81756 and 81774 is 18.

GCF(81756,81774) = 18

We will now calculate the prime factors of 81756 and 81774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81756 and 81774.

How to find the GCF of 81756 and 81774?

We will first find the prime factorization of 81756 and 81774. After we will calculate the factors of 81756 and 81774 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 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 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 81774

List of positive integer factors of 81774 that divides 81756 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 81756 and 81774. The biggest common factor number is the GCF number.
So the greatest common factor 81756 and 81774 is 18.

Also check out the Least Common Multiple of 81756 and 81774