What is the Greatest Common Factor of 5840 and 5856?

Greatest common factor (GCF) of 5840 and 5856 is 16.

GCF(5840,5856) = 16

We will now calculate the prime factors of 5840 and 5856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5840 and 5856.

How to find the GCF of 5840 and 5856?

We will first find the prime factorization of 5840 and 5856. After we will calculate the factors of 5840 and 5856 and find the biggest common factor number .

Step-1: Prime Factorization of 5840

Prime factors of 5840 are 2, 5, 73. Prime factorization of 5840 in exponential form is:

5840 = 2⁴ × 5¹ × 73¹

Step-2: Prime Factorization of 5856

Prime factors of 5856 are 2, 3, 61. Prime factorization of 5856 in exponential form is:

5856 = 2⁵ × 3¹ × 61¹

Step-3: Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920

Step-4: Factors of 5856

List of positive integer factors of 5856 that divides 5840 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5840 and 5856. The biggest common factor number is the GCF number.
So the greatest common factor 5840 and 5856 is 16.

Also check out the Least Common Multiple of 5840 and 5856