What is the Greatest Common Factor of 81072 and 81090?

Greatest common factor (GCF) of 81072 and 81090 is 18.

GCF(81072,81090) = 18

We will now calculate the prime factors of 81072 and 81090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81072 and 81090.

How to find the GCF of 81072 and 81090?

We will first find the prime factorization of 81072 and 81090. After we will calculate the factors of 81072 and 81090 and find the biggest common factor number .

Step-1: Prime Factorization of 81072

Prime factors of 81072 are 2, 3, 563. Prime factorization of 81072 in exponential form is:

81072 = 2⁴ × 3² × 563¹

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 81072

List of positive integer factors of 81072 that divides 81072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 9008, 10134, 13512, 20268, 27024, 40536

Step-4: Factors of 81090

List of positive integer factors of 81090 that divides 81072 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 81072 and 81090. The biggest common factor number is the GCF number.
So the greatest common factor 81072 and 81090 is 18.

Also check out the Least Common Multiple of 81072 and 81090