What is the Greatest Common Factor of 55988 and 56008?

Greatest common factor (GCF) of 55988 and 56008 is 4.

GCF(55988,56008) = 4

We will now calculate the prime factors of 55988 and 56008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55988 and 56008.

How to find the GCF of 55988 and 56008?

We will first find the prime factorization of 55988 and 56008. After we will calculate the factors of 55988 and 56008 and find the biggest common factor number .

Step-1: Prime Factorization of 55988

Prime factors of 55988 are 2, 13997. Prime factorization of 55988 in exponential form is:

55988 = 2² × 13997¹

Step-2: Prime Factorization of 56008

Prime factors of 56008 are 2, 7001. Prime factorization of 56008 in exponential form is:

56008 = 2³ × 7001¹

Step-3: Factors of 55988

List of positive integer factors of 55988 that divides 55988 without a remainder.

1, 2, 4, 13997, 27994

Step-4: Factors of 56008

List of positive integer factors of 56008 that divides 55988 without a remainder.

1, 2, 4, 8, 7001, 14002, 28004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55988 and 56008. The biggest common factor number is the GCF number.
So the greatest common factor 55988 and 56008 is 4.

Also check out the Least Common Multiple of 55988 and 56008