What is the Greatest Common Factor of 78778 and 78795?

Greatest common factor (GCF) of 78778 and 78795 is 17.

GCF(78778,78795) = 17

We will now calculate the prime factors of 78778 and 78795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78778 and 78795.

How to find the GCF of 78778 and 78795?

We will first find the prime factorization of 78778 and 78795. After we will calculate the factors of 78778 and 78795 and find the biggest common factor number .

Step-1: Prime Factorization of 78778

Prime factors of 78778 are 2, 7, 17, 331. Prime factorization of 78778 in exponential form is:

78778 = 2¹ × 7¹ × 17¹ × 331¹

Step-2: Prime Factorization of 78795

Prime factors of 78795 are 3, 5, 17, 103. Prime factorization of 78795 in exponential form is:

78795 = 3² × 5¹ × 17¹ × 103¹

Step-3: Factors of 78778

List of positive integer factors of 78778 that divides 78778 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 331, 662, 2317, 4634, 5627, 11254, 39389

Step-4: Factors of 78795

List of positive integer factors of 78795 that divides 78778 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 103, 153, 255, 309, 515, 765, 927, 1545, 1751, 4635, 5253, 8755, 15759, 26265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78778 and 78795. The biggest common factor number is the GCF number.
So the greatest common factor 78778 and 78795 is 17.

Also check out the Least Common Multiple of 78778 and 78795