What is the Greatest Common Factor of 40096 and 40100?

Greatest common factor (GCF) of 40096 and 40100 is 4.

GCF(40096,40100) = 4

We will now calculate the prime factors of 40096 and 40100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40096 and 40100.

How to find the GCF of 40096 and 40100?

We will first find the prime factorization of 40096 and 40100. After we will calculate the factors of 40096 and 40100 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 40100

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

40100 = 2² × 5² × 401¹

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 40100

List of positive integer factors of 40100 that divides 40096 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40096 and 40100. The biggest common factor number is the GCF number.
So the greatest common factor 40096 and 40100 is 4.

Also check out the Least Common Multiple of 40096 and 40100