What is the Greatest Common Factor of 66027 and 66040?

Greatest common factor (GCF) of 66027 and 66040 is 13.

GCF(66027,66040) = 13

We will now calculate the prime factors of 66027 and 66040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66027 and 66040.

How to find the GCF of 66027 and 66040?

We will first find the prime factorization of 66027 and 66040. After we will calculate the factors of 66027 and 66040 and find the biggest common factor number .

Step-1: Prime Factorization of 66027

Prime factors of 66027 are 3, 13, 1693. Prime factorization of 66027 in exponential form is:

66027 = 3¹ × 13¹ × 1693¹

Step-2: Prime Factorization of 66040

Prime factors of 66040 are 2, 5, 13, 127. Prime factorization of 66040 in exponential form is:

66040 = 2³ × 5¹ × 13¹ × 127¹

Step-3: Factors of 66027

List of positive integer factors of 66027 that divides 66027 without a remainder.

1, 3, 13, 39, 1693, 5079, 22009

Step-4: Factors of 66040

List of positive integer factors of 66040 that divides 66027 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 127, 130, 254, 260, 508, 520, 635, 1016, 1270, 1651, 2540, 3302, 5080, 6604, 8255, 13208, 16510, 33020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66027 and 66040. The biggest common factor number is the GCF number.
So the greatest common factor 66027 and 66040 is 13.

Also check out the Least Common Multiple of 66027 and 66040