What is the Greatest Common Factor of 81036 and 81054?

Greatest common factor (GCF) of 81036 and 81054 is 18.

GCF(81036,81054) = 18

We will now calculate the prime factors of 81036 and 81054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81036 and 81054.

How to find the GCF of 81036 and 81054?

We will first find the prime factorization of 81036 and 81054. After we will calculate the factors of 81036 and 81054 and find the biggest common factor number .

Step-1: Prime Factorization of 81036

Prime factors of 81036 are 2, 3, 2251. Prime factorization of 81036 in exponential form is:

81036 = 2² × 3² × 2251¹

Step-2: 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-3: Factors of 81036

List of positive integer factors of 81036 that divides 81036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2251, 4502, 6753, 9004, 13506, 20259, 27012, 40518

Step-4: Factors of 81054

List of positive integer factors of 81054 that divides 81036 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81036 and 81054. The biggest common factor number is the GCF number.
So the greatest common factor 81036 and 81054 is 18.

Also check out the Least Common Multiple of 81036 and 81054