What is the Greatest Common Factor of 76871 and 76875?

Greatest common factor (GCF) of 76871 and 76875 is 1.

GCF(76871,76875) = 1

We will now calculate the prime factors of 76871 and 76875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76871 and 76875.

How to find the GCF of 76871 and 76875?

We will first find the prime factorization of 76871 and 76875. After we will calculate the factors of 76871 and 76875 and find the biggest common factor number .

Step-1: Prime Factorization of 76871

Prime factors of 76871 are 76871. Prime factorization of 76871 in exponential form is:

76871 = 76871¹

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 76871

List of positive integer factors of 76871 that divides 76871 without a remainder.

Step-4: Factors of 76875

List of positive integer factors of 76875 that divides 76871 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 76871 and 76875. The biggest common factor number is the GCF number.
So the greatest common factor 76871 and 76875 is 1.

Also check out the Least Common Multiple of 76871 and 76875