What is the Greatest Common Factor of 55008 and 55028?

Greatest common factor (GCF) of 55008 and 55028 is 4.

GCF(55008,55028) = 4

We will now calculate the prime factors of 55008 and 55028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55008 and 55028.

How to find the GCF of 55008 and 55028?

We will first find the prime factorization of 55008 and 55028. After we will calculate the factors of 55008 and 55028 and find the biggest common factor number .

Step-1: Prime Factorization of 55008

Prime factors of 55008 are 2, 3, 191. Prime factorization of 55008 in exponential form is:

55008 = 2⁵ × 3² × 191¹

Step-2: Prime Factorization of 55028

Prime factors of 55028 are 2, 13757. Prime factorization of 55028 in exponential form is:

55028 = 2² × 13757¹

Step-3: Factors of 55008

List of positive integer factors of 55008 that divides 55008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 191, 288, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6112, 6876, 9168, 13752, 18336, 27504

Step-4: Factors of 55028

List of positive integer factors of 55028 that divides 55008 without a remainder.

1, 2, 4, 13757, 27514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55008 and 55028. The biggest common factor number is the GCF number.
So the greatest common factor 55008 and 55028 is 4.

Also check out the Least Common Multiple of 55008 and 55028