What is the Greatest Common Factor of 81036 and 81048?

Greatest common factor (GCF) of 81036 and 81048 is 12.

GCF(81036,81048) = 12

We will now calculate the prime factors of 81036 and 81048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81036 and 81048.

How to find the GCF of 81036 and 81048?

We will first find the prime factorization of 81036 and 81048. After we will calculate the factors of 81036 and 81048 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 81048

Prime factors of 81048 are 2, 3, 11, 307. Prime factorization of 81048 in exponential form is:

81048 = 2³ × 3¹ × 11¹ × 307¹

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 81048

List of positive integer factors of 81048 that divides 81036 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 307, 614, 921, 1228, 1842, 2456, 3377, 3684, 6754, 7368, 10131, 13508, 20262, 27016, 40524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81036 and 81048. The biggest common factor number is the GCF number.
So the greatest common factor 81036 and 81048 is 12.

Also check out the Least Common Multiple of 81036 and 81048