What is the Greatest Common Factor of 75665 and 75675?

Greatest common factor (GCF) of 75665 and 75675 is 5.

GCF(75665,75675) = 5

We will now calculate the prime factors of 75665 and 75675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75665 and 75675.

How to find the GCF of 75665 and 75675?

We will first find the prime factorization of 75665 and 75675. After we will calculate the factors of 75665 and 75675 and find the biggest common factor number .

Step-1: Prime Factorization of 75665

Prime factors of 75665 are 5, 37, 409. Prime factorization of 75665 in exponential form is:

75665 = 5¹ × 37¹ × 409¹

Step-2: 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-3: Factors of 75665

List of positive integer factors of 75665 that divides 75665 without a remainder.

1, 5, 37, 185, 409, 2045, 15133

Step-4: Factors of 75675

List of positive integer factors of 75675 that divides 75665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75665 and 75675. The biggest common factor number is the GCF number.
So the greatest common factor 75665 and 75675 is 5.

Also check out the Least Common Multiple of 75665 and 75675