What is the Greatest Common Factor of 56110 and 56120?

Greatest common factor (GCF) of 56110 and 56120 is 10.

GCF(56110,56120) = 10

We will now calculate the prime factors of 56110 and 56120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56110 and 56120.

How to find the GCF of 56110 and 56120?

We will first find the prime factorization of 56110 and 56120. After we will calculate the factors of 56110 and 56120 and find the biggest common factor number .

Step-1: Prime Factorization of 56110

Prime factors of 56110 are 2, 5, 31, 181. Prime factorization of 56110 in exponential form is:

56110 = 2¹ × 5¹ × 31¹ × 181¹

Step-2: Prime Factorization of 56120

Prime factors of 56120 are 2, 5, 23, 61. Prime factorization of 56120 in exponential form is:

56120 = 2³ × 5¹ × 23¹ × 61¹

Step-3: Factors of 56110

List of positive integer factors of 56110 that divides 56110 without a remainder.

1, 2, 5, 10, 31, 62, 155, 181, 310, 362, 905, 1810, 5611, 11222, 28055

Step-4: Factors of 56120

List of positive integer factors of 56120 that divides 56110 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 61, 92, 115, 122, 184, 230, 244, 305, 460, 488, 610, 920, 1220, 1403, 2440, 2806, 5612, 7015, 11224, 14030, 28060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56110 and 56120. The biggest common factor number is the GCF number.
So the greatest common factor 56110 and 56120 is 10.

Also check out the Least Common Multiple of 56110 and 56120