What is the Greatest Common Factor of 5796 and 5810?

Greatest common factor (GCF) of 5796 and 5810 is 14.

GCF(5796,5810) = 14

We will now calculate the prime factors of 5796 and 5810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5796 and 5810.

How to find the GCF of 5796 and 5810?

We will first find the prime factorization of 5796 and 5810. After we will calculate the factors of 5796 and 5810 and find the biggest common factor number .

Step-1: Prime Factorization of 5796

Prime factors of 5796 are 2, 3, 7, 23. Prime factorization of 5796 in exponential form is:

5796 = 2² × 3² × 7¹ × 23¹

Step-2: Prime Factorization of 5810

Prime factors of 5810 are 2, 5, 7, 83. Prime factorization of 5810 in exponential form is:

5810 = 2¹ × 5¹ × 7¹ × 83¹

Step-3: Factors of 5796

List of positive integer factors of 5796 that divides 5796 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898

Step-4: Factors of 5810

List of positive integer factors of 5810 that divides 5796 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5796 and 5810. The biggest common factor number is the GCF number.
So the greatest common factor 5796 and 5810 is 14.

Also check out the Least Common Multiple of 5796 and 5810