What is the Greatest Common Factor of 5828 and 5840?

Greatest common factor (GCF) of 5828 and 5840 is 4.

GCF(5828,5840) = 4

We will now calculate the prime factors of 5828 and 5840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5828 and 5840.

How to find the GCF of 5828 and 5840?

We will first find the prime factorization of 5828 and 5840. After we will calculate the factors of 5828 and 5840 and find the biggest common factor number .

Step-1: Prime Factorization of 5828

Prime factors of 5828 are 2, 31, 47. Prime factorization of 5828 in exponential form is:

5828 = 2² × 31¹ × 47¹

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 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914

Step-4: Factors of 5840

List of positive integer factors of 5840 that divides 5828 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 5828 and 5840. The biggest common factor number is the GCF number.
So the greatest common factor 5828 and 5840 is 4.

Also check out the Least Common Multiple of 5828 and 5840