What is the Greatest Common Factor of 78782 and 78802?

Greatest common factor (GCF) of 78782 and 78802 is 2.

GCF(78782,78802) = 2

We will now calculate the prime factors of 78782 and 78802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78782 and 78802.

How to find the GCF of 78782 and 78802?

We will first find the prime factorization of 78782 and 78802. After we will calculate the factors of 78782 and 78802 and find the biggest common factor number .

Step-1: Prime Factorization of 78782

Prime factors of 78782 are 2, 11, 3581. Prime factorization of 78782 in exponential form is:

78782 = 2¹ × 11¹ × 3581¹

Step-2: Prime Factorization of 78802

Prime factors of 78802 are 2, 31, 41. Prime factorization of 78802 in exponential form is:

78802 = 2¹ × 31² × 41¹

Step-3: Factors of 78782

List of positive integer factors of 78782 that divides 78782 without a remainder.

1, 2, 11, 22, 3581, 7162, 39391

Step-4: Factors of 78802

List of positive integer factors of 78802 that divides 78782 without a remainder.

1, 2, 31, 41, 62, 82, 961, 1271, 1922, 2542, 39401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78782 and 78802. The biggest common factor number is the GCF number.
So the greatest common factor 78782 and 78802 is 2.

Also check out the Least Common Multiple of 78782 and 78802