What is the Greatest Common Factor of 40077 and 40095?

Greatest common factor (GCF) of 40077 and 40095 is 9.

GCF(40077,40095) = 9

We will now calculate the prime factors of 40077 and 40095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40077 and 40095.

How to find the GCF of 40077 and 40095?

We will first find the prime factorization of 40077 and 40095. After we will calculate the factors of 40077 and 40095 and find the biggest common factor number .

Step-1: Prime Factorization of 40077

Prime factors of 40077 are 3, 61, 73. Prime factorization of 40077 in exponential form is:

40077 = 3² × 61¹ × 73¹

Step-2: 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-3: Factors of 40077

List of positive integer factors of 40077 that divides 40077 without a remainder.

1, 3, 9, 61, 73, 183, 219, 549, 657, 4453, 13359

Step-4: Factors of 40095

List of positive integer factors of 40095 that divides 40077 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40077 and 40095. The biggest common factor number is the GCF number.
So the greatest common factor 40077 and 40095 is 9.

Also check out the Least Common Multiple of 40077 and 40095