What is the Greatest Common Factor of 76842 and 76849?

Greatest common factor (GCF) of 76842 and 76849 is 1.

GCF(76842,76849) = 1

We will now calculate the prime factors of 76842 and 76849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76842 and 76849.

How to find the GCF of 76842 and 76849?

We will first find the prime factorization of 76842 and 76849. After we will calculate the factors of 76842 and 76849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76849

Prime factors of 76849 are 31, 37, 67. Prime factorization of 76849 in exponential form is:

76849 = 31¹ × 37¹ × 67¹

Step-3: Factors of 76842

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

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

Step-4: Factors of 76849

List of positive integer factors of 76849 that divides 76842 without a remainder.

1, 31, 37, 67, 1147, 2077, 2479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76842 and 76849. The biggest common factor number is the GCF number.
So the greatest common factor 76842 and 76849 is 1.

Also check out the Least Common Multiple of 76842 and 76849