What is the Greatest Common Factor of 81042 and 81057?

Greatest common factor (GCF) of 81042 and 81057 is 3.

GCF(81042,81057) = 3

We will now calculate the prime factors of 81042 and 81057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81042 and 81057.

How to find the GCF of 81042 and 81057?

We will first find the prime factorization of 81042 and 81057. After we will calculate the factors of 81042 and 81057 and find the biggest common factor number .

Step-1: Prime Factorization of 81042

Prime factors of 81042 are 2, 3, 13, 1039. Prime factorization of 81042 in exponential form is:

81042 = 2¹ × 3¹ × 13¹ × 1039¹

Step-2: Prime Factorization of 81057

Prime factors of 81057 are 3, 41, 659. Prime factorization of 81057 in exponential form is:

81057 = 3¹ × 41¹ × 659¹

Step-3: Factors of 81042

List of positive integer factors of 81042 that divides 81042 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1039, 2078, 3117, 6234, 13507, 27014, 40521

Step-4: Factors of 81057

List of positive integer factors of 81057 that divides 81042 without a remainder.

1, 3, 41, 123, 659, 1977, 27019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81042 and 81057. The biggest common factor number is the GCF number.
So the greatest common factor 81042 and 81057 is 3.

Also check out the Least Common Multiple of 81042 and 81057