What is the Greatest Common Factor of 81090 and 81107?

Greatest common factor (GCF) of 81090 and 81107 is 17.

GCF(81090,81107) = 17

We will now calculate the prime factors of 81090 and 81107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81090 and 81107.

How to find the GCF of 81090 and 81107?

We will first find the prime factorization of 81090 and 81107. After we will calculate the factors of 81090 and 81107 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 81107

Prime factors of 81107 are 13, 17, 367. Prime factorization of 81107 in exponential form is:

81107 = 13¹ × 17¹ × 367¹

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 81107

List of positive integer factors of 81107 that divides 81090 without a remainder.

1, 13, 17, 221, 367, 4771, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81090 and 81107. The biggest common factor number is the GCF number.
So the greatest common factor 81090 and 81107 is 17.

Also check out the Least Common Multiple of 81090 and 81107