What is the Greatest Common Factor of 76839 and 76858?

Greatest common factor (GCF) of 76839 and 76858 is 1.

GCF(76839,76858) = 1

We will now calculate the prime factors of 76839 and 76858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76839 and 76858.

How to find the GCF of 76839 and 76858?

We will first find the prime factorization of 76839 and 76858. After we will calculate the factors of 76839 and 76858 and find the biggest common factor number .

Step-1: Prime Factorization of 76839

Prime factors of 76839 are 3, 7, 3659. Prime factorization of 76839 in exponential form is:

76839 = 3¹ × 7¹ × 3659¹

Step-2: Prime Factorization of 76858

Prime factors of 76858 are 2, 83, 463. Prime factorization of 76858 in exponential form is:

76858 = 2¹ × 83¹ × 463¹

Step-3: Factors of 76839

List of positive integer factors of 76839 that divides 76839 without a remainder.

1, 3, 7, 21, 3659, 10977, 25613

Step-4: Factors of 76858

List of positive integer factors of 76858 that divides 76839 without a remainder.

1, 2, 83, 166, 463, 926, 38429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76839 and 76858. The biggest common factor number is the GCF number.
So the greatest common factor 76839 and 76858 is 1.

Also check out the Least Common Multiple of 76839 and 76858