What is the Greatest Common Factor of 76823 and 76842?

Greatest common factor (GCF) of 76823 and 76842 is 1.

GCF(76823,76842) = 1

We will now calculate the prime factors of 76823 and 76842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76823 and 76842.

How to find the GCF of 76823 and 76842?

We will first find the prime factorization of 76823 and 76842. After we will calculate the factors of 76823 and 76842 and find the biggest common factor number .

Step-1: Prime Factorization of 76823

Prime factors of 76823 are 17, 4519. Prime factorization of 76823 in exponential form is:

76823 = 17¹ × 4519¹

Step-2: Prime Factorization of 76842

Prime factors of 76842 are 2, 3, 1423. Prime factorization of 76842 in exponential form is:

76842 = 2¹ × 3³ × 1423¹

Step-3: Factors of 76823

List of positive integer factors of 76823 that divides 76823 without a remainder.

1, 17, 4519

Step-4: Factors of 76842

List of positive integer factors of 76842 that divides 76823 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1423, 2846, 4269, 8538, 12807, 25614, 38421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76823 and 76842. The biggest common factor number is the GCF number.
So the greatest common factor 76823 and 76842 is 1.

Also check out the Least Common Multiple of 76823 and 76842