What is the Greatest Common Factor of 76865 and 76872?

Greatest common factor (GCF) of 76865 and 76872 is 1.

GCF(76865,76872) = 1

We will now calculate the prime factors of 76865 and 76872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76865 and 76872.

How to find the GCF of 76865 and 76872?

We will first find the prime factorization of 76865 and 76872. After we will calculate the factors of 76865 and 76872 and find the biggest common factor number .

Step-1: Prime Factorization of 76865

Prime factors of 76865 are 5, 15373. Prime factorization of 76865 in exponential form is:

76865 = 5¹ × 15373¹

Step-2: Prime Factorization of 76872

Prime factors of 76872 are 2, 3, 3203. Prime factorization of 76872 in exponential form is:

76872 = 2³ × 3¹ × 3203¹

Step-3: Factors of 76865

List of positive integer factors of 76865 that divides 76865 without a remainder.

1, 5, 15373

Step-4: Factors of 76872

List of positive integer factors of 76872 that divides 76865 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3203, 6406, 9609, 12812, 19218, 25624, 38436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76865 and 76872. The biggest common factor number is the GCF number.
So the greatest common factor 76865 and 76872 is 1.

Also check out the Least Common Multiple of 76865 and 76872