What is the Greatest Common Factor of 40096 and 40116?

Greatest common factor (GCF) of 40096 and 40116 is 4.

GCF(40096,40116) = 4

We will now calculate the prime factors of 40096 and 40116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40096 and 40116.

How to find the GCF of 40096 and 40116?

We will first find the prime factorization of 40096 and 40116. After we will calculate the factors of 40096 and 40116 and find the biggest common factor number .

Step-1: Prime Factorization of 40096

Prime factors of 40096 are 2, 7, 179. Prime factorization of 40096 in exponential form is:

40096 = 2⁵ × 7¹ × 179¹

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 40096

List of positive integer factors of 40096 that divides 40096 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 179, 224, 358, 716, 1253, 1432, 2506, 2864, 5012, 5728, 10024, 20048

Step-4: Factors of 40116

List of positive integer factors of 40116 that divides 40096 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 40096 and 40116. The biggest common factor number is the GCF number.
So the greatest common factor 40096 and 40116 is 4.

Also check out the Least Common Multiple of 40096 and 40116