What is the Greatest Common Factor of 76863 and 76875?

Greatest common factor (GCF) of 76863 and 76875 is 3.

GCF(76863,76875) = 3

We will now calculate the prime factors of 76863 and 76875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76863 and 76875.

How to find the GCF of 76863 and 76875?

We will first find the prime factorization of 76863 and 76875. After we will calculate the factors of 76863 and 76875 and find the biggest common factor number .

Step-1: Prime Factorization of 76863

Prime factors of 76863 are 3, 25621. Prime factorization of 76863 in exponential form is:

76863 = 3¹ × 25621¹

Step-2: Prime Factorization of 76875

Prime factors of 76875 are 3, 5, 41. Prime factorization of 76875 in exponential form is:

76875 = 3¹ × 5⁴ × 41¹

Step-3: Factors of 76863

List of positive integer factors of 76863 that divides 76863 without a remainder.

1, 3, 25621

Step-4: Factors of 76875

List of positive integer factors of 76875 that divides 76863 without a remainder.

1, 3, 5, 15, 25, 41, 75, 123, 125, 205, 375, 615, 625, 1025, 1875, 3075, 5125, 15375, 25625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76863 and 76875. The biggest common factor number is the GCF number.
So the greatest common factor 76863 and 76875 is 3.

Also check out the Least Common Multiple of 76863 and 76875