What is the Greatest Common Factor of 81074 and 81081?

Greatest common factor (GCF) of 81074 and 81081 is 7.

GCF(81074,81081) = 7

We will now calculate the prime factors of 81074 and 81081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81074 and 81081.

How to find the GCF of 81074 and 81081?

We will first find the prime factorization of 81074 and 81081. After we will calculate the factors of 81074 and 81081 and find the biggest common factor number .

Step-1: Prime Factorization of 81074

Prime factors of 81074 are 2, 7, 5791. Prime factorization of 81074 in exponential form is:

81074 = 2¹ × 7¹ × 5791¹

Step-2: Prime Factorization of 81081

Prime factors of 81081 are 3, 7, 11, 13. Prime factorization of 81081 in exponential form is:

81081 = 3⁴ × 7¹ × 11¹ × 13¹

Step-3: Factors of 81074

List of positive integer factors of 81074 that divides 81074 without a remainder.

1, 2, 7, 14, 5791, 11582, 40537

Step-4: Factors of 81081

List of positive integer factors of 81081 that divides 81074 without a remainder.

1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 81, 91, 99, 117, 143, 189, 231, 273, 297, 351, 429, 567, 693, 819, 891, 1001, 1053, 1287, 2079, 2457, 3003, 3861, 6237, 7371, 9009, 11583, 27027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81074 and 81081. The biggest common factor number is the GCF number.
So the greatest common factor 81074 and 81081 is 7.

Also check out the Least Common Multiple of 81074 and 81081