What is the Greatest Common Factor of 75675 and 75683?

Greatest common factor (GCF) of 75675 and 75683 is 1.

GCF(75675,75683) = 1

We will now calculate the prime factors of 75675 and 75683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75675 and 75683.

How to find the GCF of 75675 and 75683?

We will first find the prime factorization of 75675 and 75683. After we will calculate the factors of 75675 and 75683 and find the biggest common factor number .

Step-1: Prime Factorization of 75675

Prime factors of 75675 are 3, 5, 1009. Prime factorization of 75675 in exponential form is:

75675 = 3¹ × 5² × 1009¹

Step-2: Prime Factorization of 75683

Prime factors of 75683 are 75683. Prime factorization of 75683 in exponential form is:

75683 = 75683¹

Step-3: Factors of 75675

List of positive integer factors of 75675 that divides 75675 without a remainder.

1, 3, 5, 15, 25, 75, 1009, 3027, 5045, 15135, 25225

Step-4: Factors of 75683

List of positive integer factors of 75683 that divides 75675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75675 and 75683. The biggest common factor number is the GCF number.
So the greatest common factor 75675 and 75683 is 1.

Also check out the Least Common Multiple of 75675 and 75683