What is the Greatest Common Factor of 55010 and 55028?

Greatest common factor (GCF) of 55010 and 55028 is 2.

GCF(55010,55028) = 2

We will now calculate the prime factors of 55010 and 55028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55010 and 55028.

How to find the GCF of 55010 and 55028?

We will first find the prime factorization of 55010 and 55028. After we will calculate the factors of 55010 and 55028 and find the biggest common factor number .

Step-1: Prime Factorization of 55010

Prime factors of 55010 are 2, 5, 5501. Prime factorization of 55010 in exponential form is:

55010 = 2¹ × 5¹ × 5501¹

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 55010

List of positive integer factors of 55010 that divides 55010 without a remainder.

1, 2, 5, 10, 5501, 11002, 27505

Step-4: Factors of 55028

List of positive integer factors of 55028 that divides 55010 without a remainder.

1, 2, 4, 13757, 27514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55010 and 55028. The biggest common factor number is the GCF number.
So the greatest common factor 55010 and 55028 is 2.

Also check out the Least Common Multiple of 55010 and 55028