What is the Greatest Common Factor of 85665 and 85669?

Greatest common factor (GCF) of 85665 and 85669 is 1.

GCF(85665,85669) = 1

We will now calculate the prime factors of 85665 and 85669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85665 and 85669.

How to find the GCF of 85665 and 85669?

We will first find the prime factorization of 85665 and 85669. After we will calculate the factors of 85665 and 85669 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 85669

Prime factors of 85669 are 85669. Prime factorization of 85669 in exponential form is:

85669 = 85669¹

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 85669

List of positive integer factors of 85669 that divides 85665 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85665 and 85669. The biggest common factor number is the GCF number.
So the greatest common factor 85665 and 85669 is 1.

Also check out the Least Common Multiple of 85665 and 85669