What is the Greatest Common Factor of 76875 and 76894?

Greatest common factor (GCF) of 76875 and 76894 is 1.

GCF(76875,76894) = 1

We will now calculate the prime factors of 76875 and 76894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76875 and 76894.

How to find the GCF of 76875 and 76894?

We will first find the prime factorization of 76875 and 76894. After we will calculate the factors of 76875 and 76894 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76894

Prime factors of 76894 are 2, 38447. Prime factorization of 76894 in exponential form is:

76894 = 2¹ × 38447¹

Step-3: Factors of 76875

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

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

Step-4: Factors of 76894

List of positive integer factors of 76894 that divides 76875 without a remainder.

1, 2, 38447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76875 and 76894. The biggest common factor number is the GCF number.
So the greatest common factor 76875 and 76894 is 1.

Also check out the Least Common Multiple of 76875 and 76894