What is the Greatest Common Factor of 5824 and 5840?

Greatest common factor (GCF) of 5824 and 5840 is 16.

GCF(5824,5840) = 16

We will now calculate the prime factors of 5824 and 5840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5824 and 5840.

How to find the GCF of 5824 and 5840?

We will first find the prime factorization of 5824 and 5840. After we will calculate the factors of 5824 and 5840 and find the biggest common factor number .

Step-1: Prime Factorization of 5824

Prime factors of 5824 are 2, 7, 13. Prime factorization of 5824 in exponential form is:

5824 = 2⁶ × 7¹ × 13¹

Step-2: 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-3: Factors of 5824

List of positive integer factors of 5824 that divides 5824 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912

Step-4: Factors of 5840

List of positive integer factors of 5840 that divides 5824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5824 and 5840. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5840 is 16.

Also check out the Least Common Multiple of 5824 and 5840