What is the Greatest Common Factor of 78814 and 78823?

Greatest common factor (GCF) of 78814 and 78823 is 1.

GCF(78814,78823) = 1

We will now calculate the prime factors of 78814 and 78823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78814 and 78823.

How to find the GCF of 78814 and 78823?

We will first find the prime factorization of 78814 and 78823. After we will calculate the factors of 78814 and 78823 and find the biggest common factor number .

Step-1: Prime Factorization of 78814

Prime factors of 78814 are 2, 157, 251. Prime factorization of 78814 in exponential form is:

78814 = 2¹ × 157¹ × 251¹

Step-2: Prime Factorization of 78823

Prime factors of 78823 are 78823. Prime factorization of 78823 in exponential form is:

78823 = 78823¹

Step-3: Factors of 78814

List of positive integer factors of 78814 that divides 78814 without a remainder.

1, 2, 157, 251, 314, 502, 39407

Step-4: Factors of 78823

List of positive integer factors of 78823 that divides 78814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78814 and 78823. The biggest common factor number is the GCF number.
So the greatest common factor 78814 and 78823 is 1.

Also check out the Least Common Multiple of 78814 and 78823