What is the Greatest Common Factor of 40105 and 40118?

Greatest common factor (GCF) of 40105 and 40118 is 13.

GCF(40105,40118) = 13

We will now calculate the prime factors of 40105 and 40118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40105 and 40118.

How to find the GCF of 40105 and 40118?

We will first find the prime factorization of 40105 and 40118. After we will calculate the factors of 40105 and 40118 and find the biggest common factor number .

Step-1: Prime Factorization of 40105

Prime factors of 40105 are 5, 13, 617. Prime factorization of 40105 in exponential form is:

40105 = 5¹ × 13¹ × 617¹

Step-2: Prime Factorization of 40118

Prime factors of 40118 are 2, 13, 1543. Prime factorization of 40118 in exponential form is:

40118 = 2¹ × 13¹ × 1543¹

Step-3: Factors of 40105

List of positive integer factors of 40105 that divides 40105 without a remainder.

1, 5, 13, 65, 617, 3085, 8021

Step-4: Factors of 40118

List of positive integer factors of 40118 that divides 40105 without a remainder.

1, 2, 13, 26, 1543, 3086, 20059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40105 and 40118. The biggest common factor number is the GCF number.
So the greatest common factor 40105 and 40118 is 13.

Also check out the Least Common Multiple of 40105 and 40118