What is the Greatest Common Factor of 40114 and 40131?

Greatest common factor (GCF) of 40114 and 40131 is 1.

GCF(40114,40131) = 1

We will now calculate the prime factors of 40114 and 40131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40114 and 40131.

How to find the GCF of 40114 and 40131?

We will first find the prime factorization of 40114 and 40131. After we will calculate the factors of 40114 and 40131 and find the biggest common factor number .

Step-1: Prime Factorization of 40114

Prime factors of 40114 are 2, 31, 647. Prime factorization of 40114 in exponential form is:

40114 = 2¹ × 31¹ × 647¹

Step-2: Prime Factorization of 40131

Prime factors of 40131 are 3, 7, 13. Prime factorization of 40131 in exponential form is:

40131 = 3² × 7³ × 13¹

Step-3: Factors of 40114

List of positive integer factors of 40114 that divides 40114 without a remainder.

1, 2, 31, 62, 647, 1294, 20057

Step-4: Factors of 40131

List of positive integer factors of 40131 that divides 40114 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 343, 441, 637, 819, 1029, 1911, 3087, 4459, 5733, 13377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40114 and 40131. The biggest common factor number is the GCF number.
So the greatest common factor 40114 and 40131 is 1.

Also check out the Least Common Multiple of 40114 and 40131