What is the Greatest Common Factor of 55040 and 55058?

Greatest common factor (GCF) of 55040 and 55058 is 2.

GCF(55040,55058) = 2

We will now calculate the prime factors of 55040 and 55058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55040 and 55058.

How to find the GCF of 55040 and 55058?

We will first find the prime factorization of 55040 and 55058. After we will calculate the factors of 55040 and 55058 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55058

Prime factors of 55058 are 2, 27529. Prime factorization of 55058 in exponential form is:

55058 = 2¹ × 27529¹

Step-3: Factors of 55040

List of positive integer factors of 55040 that divides 55040 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

Step-4: Factors of 55058

List of positive integer factors of 55058 that divides 55040 without a remainder.

1, 2, 27529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55040 and 55058. The biggest common factor number is the GCF number.
So the greatest common factor 55040 and 55058 is 2.

Also check out the Least Common Multiple of 55040 and 55058