What is the Greatest Common Factor of 40071 and 40086?

Greatest common factor (GCF) of 40071 and 40086 is 3.

GCF(40071,40086) = 3

We will now calculate the prime factors of 40071 and 40086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40071 and 40086.

How to find the GCF of 40071 and 40086?

We will first find the prime factorization of 40071 and 40086. After we will calculate the factors of 40071 and 40086 and find the biggest common factor number .

Step-1: Prime Factorization of 40071

Prime factors of 40071 are 3, 19, 37. Prime factorization of 40071 in exponential form is:

40071 = 3¹ × 19² × 37¹

Step-2: Prime Factorization of 40086

Prime factors of 40086 are 2, 3, 17, 131. Prime factorization of 40086 in exponential form is:

40086 = 2¹ × 3² × 17¹ × 131¹

Step-3: Factors of 40071

List of positive integer factors of 40071 that divides 40071 without a remainder.

1, 3, 19, 37, 57, 111, 361, 703, 1083, 2109, 13357

Step-4: Factors of 40086

List of positive integer factors of 40086 that divides 40071 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 131, 153, 262, 306, 393, 786, 1179, 2227, 2358, 4454, 6681, 13362, 20043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40071 and 40086. The biggest common factor number is the GCF number.
So the greatest common factor 40071 and 40086 is 3.

Also check out the Least Common Multiple of 40071 and 40086