What is the Greatest Common Factor of 55028 and 55040?

Greatest common factor (GCF) of 55028 and 55040 is 4.

GCF(55028,55040) = 4

We will now calculate the prime factors of 55028 and 55040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55028 and 55040.

How to find the GCF of 55028 and 55040?

We will first find the prime factorization of 55028 and 55040. After we will calculate the factors of 55028 and 55040 and find the biggest common factor number .

Step-1: Prime Factorization of 55028

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

55028 = 2² × 13757¹

Step-2: Prime Factorization of 55040

Prime factors of 55040 are 2, 5, 43. Prime factorization of 55040 in exponential form is:

55040 = 2⁸ × 5¹ × 43¹

Step-3: Factors of 55028

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

1, 2, 4, 13757, 27514

Step-4: Factors of 55040

List of positive integer factors of 55040 that divides 55028 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160, 172, 215, 256, 320, 344, 430, 640, 688, 860, 1280, 1376, 1720, 2752, 3440, 5504, 6880, 11008, 13760, 27520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55028 and 55040. The biggest common factor number is the GCF number.
So the greatest common factor 55028 and 55040 is 4.

Also check out the Least Common Multiple of 55028 and 55040