What is the Greatest Common Factor of 85665 and 85675?

Greatest common factor (GCF) of 85665 and 85675 is 5.

GCF(85665,85675) = 5

We will now calculate the prime factors of 85665 and 85675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85665 and 85675.

How to find the GCF of 85665 and 85675?

We will first find the prime factorization of 85665 and 85675. After we will calculate the factors of 85665 and 85675 and find the biggest common factor number .

Step-1: Prime Factorization of 85665

Prime factors of 85665 are 3, 5, 5711. Prime factorization of 85665 in exponential form is:

85665 = 3¹ × 5¹ × 5711¹

Step-2: Prime Factorization of 85675

Prime factors of 85675 are 5, 23, 149. Prime factorization of 85675 in exponential form is:

85675 = 5² × 23¹ × 149¹

Step-3: Factors of 85665

List of positive integer factors of 85665 that divides 85665 without a remainder.

1, 3, 5, 15, 5711, 17133, 28555

Step-4: Factors of 85675

List of positive integer factors of 85675 that divides 85665 without a remainder.

1, 5, 23, 25, 115, 149, 575, 745, 3427, 3725, 17135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85665 and 85675. The biggest common factor number is the GCF number.
So the greatest common factor 85665 and 85675 is 5.

Also check out the Least Common Multiple of 85665 and 85675