What is the Greatest Common Factor of 76851 and 76870?

Greatest common factor (GCF) of 76851 and 76870 is 1.

GCF(76851,76870) = 1

We will now calculate the prime factors of 76851 and 76870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76851 and 76870.

How to find the GCF of 76851 and 76870?

We will first find the prime factorization of 76851 and 76870. After we will calculate the factors of 76851 and 76870 and find the biggest common factor number .

Step-1: Prime Factorization of 76851

Prime factors of 76851 are 3, 8539. Prime factorization of 76851 in exponential form is:

76851 = 3² × 8539¹

Step-2: Prime Factorization of 76870

Prime factors of 76870 are 2, 5, 7687. Prime factorization of 76870 in exponential form is:

76870 = 2¹ × 5¹ × 7687¹

Step-3: Factors of 76851

List of positive integer factors of 76851 that divides 76851 without a remainder.

1, 3, 9, 8539, 25617

Step-4: Factors of 76870

List of positive integer factors of 76870 that divides 76851 without a remainder.

1, 2, 5, 10, 7687, 15374, 38435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76851 and 76870. The biggest common factor number is the GCF number.
So the greatest common factor 76851 and 76870 is 1.

Also check out the Least Common Multiple of 76851 and 76870