What is the Greatest Common Factor of 78785 and 78802?

Greatest common factor (GCF) of 78785 and 78802 is 1.

GCF(78785,78802) = 1

We will now calculate the prime factors of 78785 and 78802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78785 and 78802.

How to find the GCF of 78785 and 78802?

We will first find the prime factorization of 78785 and 78802. After we will calculate the factors of 78785 and 78802 and find the biggest common factor number .

Step-1: Prime Factorization of 78785

Prime factors of 78785 are 5, 7, 2251. Prime factorization of 78785 in exponential form is:

78785 = 5¹ × 7¹ × 2251¹

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 78785

List of positive integer factors of 78785 that divides 78785 without a remainder.

1, 5, 7, 35, 2251, 11255, 15757

Step-4: Factors of 78802

List of positive integer factors of 78802 that divides 78785 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 78785 and 78802. The biggest common factor number is the GCF number.
So the greatest common factor 78785 and 78802 is 1.

Also check out the Least Common Multiple of 78785 and 78802