What is the Greatest Common Factor of 81078 and 81090?

Greatest common factor (GCF) of 81078 and 81090 is 6.

GCF(81078,81090) = 6

We will now calculate the prime factors of 81078 and 81090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81078 and 81090.

How to find the GCF of 81078 and 81090?

We will first find the prime factorization of 81078 and 81090. After we will calculate the factors of 81078 and 81090 and find the biggest common factor number .

Step-1: Prime Factorization of 81078

Prime factors of 81078 are 2, 3, 13513. Prime factorization of 81078 in exponential form is:

81078 = 2¹ × 3¹ × 13513¹

Step-2: 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-3: Factors of 81078

List of positive integer factors of 81078 that divides 81078 without a remainder.

1, 2, 3, 6, 13513, 27026, 40539

Step-4: Factors of 81090

List of positive integer factors of 81090 that divides 81078 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81078 and 81090. The biggest common factor number is the GCF number.
So the greatest common factor 81078 and 81090 is 6.

Also check out the Least Common Multiple of 81078 and 81090