What is the Greatest Common Factor of 40095 and 40106?

Greatest common factor (GCF) of 40095 and 40106 is 11.

GCF(40095,40106) = 11

We will now calculate the prime factors of 40095 and 40106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40095 and 40106.

How to find the GCF of 40095 and 40106?

We will first find the prime factorization of 40095 and 40106. After we will calculate the factors of 40095 and 40106 and find the biggest common factor number .

Step-1: Prime Factorization of 40095

Prime factors of 40095 are 3, 5, 11. Prime factorization of 40095 in exponential form is:

40095 = 3⁶ × 5¹ × 11¹

Step-2: Prime Factorization of 40106

Prime factors of 40106 are 2, 11, 1823. Prime factorization of 40106 in exponential form is:

40106 = 2¹ × 11¹ × 1823¹

Step-3: Factors of 40095

List of positive integer factors of 40095 that divides 40095 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297, 405, 495, 729, 891, 1215, 1485, 2673, 3645, 4455, 8019, 13365

Step-4: Factors of 40106

List of positive integer factors of 40106 that divides 40095 without a remainder.

1, 2, 11, 22, 1823, 3646, 20053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40095 and 40106. The biggest common factor number is the GCF number.
So the greatest common factor 40095 and 40106 is 11.

Also check out the Least Common Multiple of 40095 and 40106