What is the Greatest Common Factor of 89665 and 89675?

Greatest common factor (GCF) of 89665 and 89675 is 5.

GCF(89665,89675) = 5

We will now calculate the prime factors of 89665 and 89675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89665 and 89675.

How to find the GCF of 89665 and 89675?

We will first find the prime factorization of 89665 and 89675. After we will calculate the factors of 89665 and 89675 and find the biggest common factor number .

Step-1: Prime Factorization of 89665

Prime factors of 89665 are 5, 79, 227. Prime factorization of 89665 in exponential form is:

89665 = 5¹ × 79¹ × 227¹

Step-2: Prime Factorization of 89675

Prime factors of 89675 are 5, 17, 211. Prime factorization of 89675 in exponential form is:

89675 = 5² × 17¹ × 211¹

Step-3: Factors of 89665

List of positive integer factors of 89665 that divides 89665 without a remainder.

1, 5, 79, 227, 395, 1135, 17933

Step-4: Factors of 89675

List of positive integer factors of 89675 that divides 89665 without a remainder.

1, 5, 17, 25, 85, 211, 425, 1055, 3587, 5275, 17935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89665 and 89675. The biggest common factor number is the GCF number.
So the greatest common factor 89665 and 89675 is 5.

Also check out the Least Common Multiple of 89665 and 89675