What is the Greatest Common Factor of 76878 and 76892?

Greatest common factor (GCF) of 76878 and 76892 is 2.

GCF(76878,76892) = 2

We will now calculate the prime factors of 76878 and 76892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76878 and 76892.

How to find the GCF of 76878 and 76892?

We will first find the prime factorization of 76878 and 76892. After we will calculate the factors of 76878 and 76892 and find the biggest common factor number .

Step-1: Prime Factorization of 76878

Prime factors of 76878 are 2, 3, 4271. Prime factorization of 76878 in exponential form is:

76878 = 2¹ × 3² × 4271¹

Step-2: Prime Factorization of 76892

Prime factors of 76892 are 2, 47, 409. Prime factorization of 76892 in exponential form is:

76892 = 2² × 47¹ × 409¹

Step-3: Factors of 76878

List of positive integer factors of 76878 that divides 76878 without a remainder.

1, 2, 3, 6, 9, 18, 4271, 8542, 12813, 25626, 38439

Step-4: Factors of 76892

List of positive integer factors of 76892 that divides 76878 without a remainder.

1, 2, 4, 47, 94, 188, 409, 818, 1636, 19223, 38446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76878 and 76892. The biggest common factor number is the GCF number.
So the greatest common factor 76878 and 76892 is 2.

Also check out the Least Common Multiple of 76878 and 76892