What is the Greatest Common Factor of 76839 and 76848?

Greatest common factor (GCF) of 76839 and 76848 is 3.

GCF(76839,76848) = 3

We will now calculate the prime factors of 76839 and 76848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76839 and 76848.

How to find the GCF of 76839 and 76848?

We will first find the prime factorization of 76839 and 76848. After we will calculate the factors of 76839 and 76848 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 76848

Prime factors of 76848 are 2, 3, 1601. Prime factorization of 76848 in exponential form is:

76848 = 2⁴ × 3¹ × 1601¹

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 76848

List of positive integer factors of 76848 that divides 76839 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1601, 3202, 4803, 6404, 9606, 12808, 19212, 25616, 38424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76839 and 76848. The biggest common factor number is the GCF number.
So the greatest common factor 76839 and 76848 is 3.

Also check out the Least Common Multiple of 76839 and 76848