What is the Greatest Common Factor of 81774 and 81788?

Greatest common factor (GCF) of 81774 and 81788 is 14.

GCF(81774,81788) = 14

We will now calculate the prime factors of 81774 and 81788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81774 and 81788.

How to find the GCF of 81774 and 81788?

We will first find the prime factorization of 81774 and 81788. After we will calculate the factors of 81774 and 81788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81788

Prime factors of 81788 are 2, 7, 23, 127. Prime factorization of 81788 in exponential form is:

81788 = 2² × 7¹ × 23¹ × 127¹

Step-3: Factors of 81774

List of positive integer factors of 81774 that divides 81774 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

Step-4: Factors of 81788

List of positive integer factors of 81788 that divides 81774 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 127, 161, 254, 322, 508, 644, 889, 1778, 2921, 3556, 5842, 11684, 20447, 40894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81774 and 81788. The biggest common factor number is the GCF number.
So the greatest common factor 81774 and 81788 is 14.

Also check out the Least Common Multiple of 81774 and 81788