What is the Greatest Common Factor of 81774 and 81781?

Greatest common factor (GCF) of 81774 and 81781 is 7.

GCF(81774,81781) = 7

We will now calculate the prime factors of 81774 and 81781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81774 and 81781.

How to find the GCF of 81774 and 81781?

We will first find the prime factorization of 81774 and 81781. After we will calculate the factors of 81774 and 81781 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 81781

Prime factors of 81781 are 7, 1669. Prime factorization of 81781 in exponential form is:

81781 = 7² × 1669¹

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 81781

List of positive integer factors of 81781 that divides 81774 without a remainder.

1, 7, 49, 1669, 11683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81774 and 81781. The biggest common factor number is the GCF number.
So the greatest common factor 81774 and 81781 is 7.

Also check out the Least Common Multiple of 81774 and 81781