What is the Greatest Common Factor of 56096 and 56116?

Greatest common factor (GCF) of 56096 and 56116 is 4.

GCF(56096,56116) = 4

We will now calculate the prime factors of 56096 and 56116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56096 and 56116.

How to find the GCF of 56096 and 56116?

We will first find the prime factorization of 56096 and 56116. After we will calculate the factors of 56096 and 56116 and find the biggest common factor number .

Step-1: Prime Factorization of 56096

Prime factors of 56096 are 2, 1753. Prime factorization of 56096 in exponential form is:

56096 = 2⁵ × 1753¹

Step-2: Prime Factorization of 56116

Prime factors of 56116 are 2, 14029. Prime factorization of 56116 in exponential form is:

56116 = 2² × 14029¹

Step-3: Factors of 56096

List of positive integer factors of 56096 that divides 56096 without a remainder.

1, 2, 4, 8, 16, 32, 1753, 3506, 7012, 14024, 28048

Step-4: Factors of 56116

List of positive integer factors of 56116 that divides 56096 without a remainder.

1, 2, 4, 14029, 28058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56096 and 56116. The biggest common factor number is the GCF number.
So the greatest common factor 56096 and 56116 is 4.

Also check out the Least Common Multiple of 56096 and 56116