What is the Greatest Common Factor of 81054 and 81072?

Greatest common factor (GCF) of 81054 and 81072 is 18.

GCF(81054,81072) = 18

We will now calculate the prime factors of 81054 and 81072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81054 and 81072.

How to find the GCF of 81054 and 81072?

We will first find the prime factorization of 81054 and 81072. After we will calculate the factors of 81054 and 81072 and find the biggest common factor number .

Step-1: Prime Factorization of 81054

Prime factors of 81054 are 2, 3, 19, 79. Prime factorization of 81054 in exponential form is:

81054 = 2¹ × 3³ × 19¹ × 79¹

Step-2: 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-3: Factors of 81054

List of positive integer factors of 81054 that divides 81054 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 79, 114, 158, 171, 237, 342, 474, 513, 711, 1026, 1422, 1501, 2133, 3002, 4266, 4503, 9006, 13509, 27018, 40527

Step-4: Factors of 81072

List of positive integer factors of 81072 that divides 81054 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81054 and 81072. The biggest common factor number is the GCF number.
So the greatest common factor 81054 and 81072 is 18.

Also check out the Least Common Multiple of 81054 and 81072