What is the Greatest Common Factor of 81090 and 81110?

Greatest common factor (GCF) of 81090 and 81110 is 10.

GCF(81090,81110) = 10

We will now calculate the prime factors of 81090 and 81110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81090 and 81110.

How to find the GCF of 81090 and 81110?

We will first find the prime factorization of 81090 and 81110. After we will calculate the factors of 81090 and 81110 and find the biggest common factor number .

Step-1: Prime Factorization of 81090

Prime factors of 81090 are 2, 3, 5, 17, 53. Prime factorization of 81090 in exponential form is:

81090 = 2¹ × 3² × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 81110

Prime factors of 81110 are 2, 5, 8111. Prime factorization of 81110 in exponential form is:

81110 = 2¹ × 5¹ × 8111¹

Step-3: Factors of 81090

List of positive integer factors of 81090 that divides 81090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 53, 85, 90, 102, 106, 153, 159, 170, 255, 265, 306, 318, 477, 510, 530, 765, 795, 901, 954, 1530, 1590, 1802, 2385, 2703, 4505, 4770, 5406, 8109, 9010, 13515, 16218, 27030, 40545

Step-4: Factors of 81110

List of positive integer factors of 81110 that divides 81090 without a remainder.

1, 2, 5, 10, 8111, 16222, 40555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81090 and 81110. The biggest common factor number is the GCF number.
So the greatest common factor 81090 and 81110 is 10.

Also check out the Least Common Multiple of 81090 and 81110