What is the Greatest Common Factor of 40100 and 40116?

Greatest common factor (GCF) of 40100 and 40116 is 4.

GCF(40100,40116) = 4

We will now calculate the prime factors of 40100 and 40116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40100 and 40116.

How to find the GCF of 40100 and 40116?

We will first find the prime factorization of 40100 and 40116. After we will calculate the factors of 40100 and 40116 and find the biggest common factor number .

Step-1: Prime Factorization of 40100

Prime factors of 40100 are 2, 5, 401. Prime factorization of 40100 in exponential form is:

40100 = 2² × 5² × 401¹

Step-2: Prime Factorization of 40116

Prime factors of 40116 are 2, 3, 3343. Prime factorization of 40116 in exponential form is:

40116 = 2² × 3¹ × 3343¹

Step-3: Factors of 40100

List of positive integer factors of 40100 that divides 40100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 401, 802, 1604, 2005, 4010, 8020, 10025, 20050

Step-4: Factors of 40116

List of positive integer factors of 40116 that divides 40100 without a remainder.

1, 2, 3, 4, 6, 12, 3343, 6686, 10029, 13372, 20058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40100 and 40116. The biggest common factor number is the GCF number.
So the greatest common factor 40100 and 40116 is 4.

Also check out the Least Common Multiple of 40100 and 40116