What is the Greatest Common Factor of 5786 and 5802?

Greatest common factor (GCF) of 5786 and 5802 is 2.

GCF(5786,5802) = 2

We will now calculate the prime factors of 5786 and 5802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5786 and 5802.

How to find the GCF of 5786 and 5802?

We will first find the prime factorization of 5786 and 5802. After we will calculate the factors of 5786 and 5802 and find the biggest common factor number .

Step-1: Prime Factorization of 5786

Prime factors of 5786 are 2, 11, 263. Prime factorization of 5786 in exponential form is:

5786 = 2¹ × 11¹ × 263¹

Step-2: Prime Factorization of 5802

Prime factors of 5802 are 2, 3, 967. Prime factorization of 5802 in exponential form is:

5802 = 2¹ × 3¹ × 967¹

Step-3: Factors of 5786

List of positive integer factors of 5786 that divides 5786 without a remainder.

1, 2, 11, 22, 263, 526, 2893

Step-4: Factors of 5802

List of positive integer factors of 5802 that divides 5786 without a remainder.

1, 2, 3, 6, 967, 1934, 2901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5786 and 5802. The biggest common factor number is the GCF number.
So the greatest common factor 5786 and 5802 is 2.

Also check out the Least Common Multiple of 5786 and 5802