What is the Greatest Common Factor of 5789 and 5796?

Greatest common factor (GCF) of 5789 and 5796 is 7.

GCF(5789,5796) = 7

We will now calculate the prime factors of 5789 and 5796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5789 and 5796.

How to find the GCF of 5789 and 5796?

We will first find the prime factorization of 5789 and 5796. After we will calculate the factors of 5789 and 5796 and find the biggest common factor number .

Step-1: Prime Factorization of 5789

Prime factors of 5789 are 7, 827. Prime factorization of 5789 in exponential form is:

5789 = 7¹ × 827¹

Step-2: 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-3: Factors of 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1, 7, 827

Step-4: Factors of 5796

List of positive integer factors of 5796 that divides 5789 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5789 and 5796. The biggest common factor number is the GCF number.
So the greatest common factor 5789 and 5796 is 7.

Also check out the Least Common Multiple of 5789 and 5796