What is the Greatest Common Factor of 51040 and 51055?

Greatest common factor (GCF) of 51040 and 51055 is 5.

GCF(51040,51055) = 5

We will now calculate the prime factors of 51040 and 51055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51040 and 51055.

How to find the GCF of 51040 and 51055?

We will first find the prime factorization of 51040 and 51055. After we will calculate the factors of 51040 and 51055 and find the biggest common factor number .

Step-1: Prime Factorization of 51040

Prime factors of 51040 are 2, 5, 11, 29. Prime factorization of 51040 in exponential form is:

51040 = 2⁵ × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 51055

Prime factors of 51055 are 5, 10211. Prime factorization of 51055 in exponential form is:

51055 = 5¹ × 10211¹

Step-3: Factors of 51040

List of positive integer factors of 51040 that divides 51040 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 32, 40, 44, 55, 58, 80, 88, 110, 116, 145, 160, 176, 220, 232, 290, 319, 352, 440, 464, 580, 638, 880, 928, 1160, 1276, 1595, 1760, 2320, 2552, 3190, 4640, 5104, 6380, 10208, 12760, 25520

Step-4: Factors of 51055

List of positive integer factors of 51055 that divides 51040 without a remainder.

1, 5, 10211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51040 and 51055. The biggest common factor number is the GCF number.
So the greatest common factor 51040 and 51055 is 5.

Also check out the Least Common Multiple of 51040 and 51055