What is the Greatest Common Factor of 75866 and 75875?

Greatest common factor (GCF) of 75866 and 75875 is 1.

GCF(75866,75875) = 1

We will now calculate the prime factors of 75866 and 75875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75866 and 75875.

How to find the GCF of 75866 and 75875?

We will first find the prime factorization of 75866 and 75875. After we will calculate the factors of 75866 and 75875 and find the biggest common factor number .

Step-1: Prime Factorization of 75866

Prime factors of 75866 are 2, 7, 5419. Prime factorization of 75866 in exponential form is:

75866 = 2¹ × 7¹ × 5419¹

Step-2: Prime Factorization of 75875

Prime factors of 75875 are 5, 607. Prime factorization of 75875 in exponential form is:

75875 = 5³ × 607¹

Step-3: Factors of 75866

List of positive integer factors of 75866 that divides 75866 without a remainder.

1, 2, 7, 14, 5419, 10838, 37933

Step-4: Factors of 75875

List of positive integer factors of 75875 that divides 75866 without a remainder.

1, 5, 25, 125, 607, 3035, 15175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75866 and 75875. The biggest common factor number is the GCF number.
So the greatest common factor 75866 and 75875 is 1.

Also check out the Least Common Multiple of 75866 and 75875