What is the Greatest Common Factor of 89268 and 89275?

Greatest common factor (GCF) of 89268 and 89275 is 1.

GCF(89268,89275) = 1

We will now calculate the prime factors of 89268 and 89275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89268 and 89275.

How to find the GCF of 89268 and 89275?

We will first find the prime factorization of 89268 and 89275. After we will calculate the factors of 89268 and 89275 and find the biggest common factor number .

Step-1: Prime Factorization of 89268

Prime factors of 89268 are 2, 3, 43, 173. Prime factorization of 89268 in exponential form is:

89268 = 2² × 3¹ × 43¹ × 173¹

Step-2: Prime Factorization of 89275

Prime factors of 89275 are 5, 3571. Prime factorization of 89275 in exponential form is:

89275 = 5² × 3571¹

Step-3: Factors of 89268

List of positive integer factors of 89268 that divides 89268 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 173, 258, 346, 516, 519, 692, 1038, 2076, 7439, 14878, 22317, 29756, 44634

Step-4: Factors of 89275

List of positive integer factors of 89275 that divides 89268 without a remainder.

1, 5, 25, 3571, 17855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89268 and 89275. The biggest common factor number is the GCF number.
So the greatest common factor 89268 and 89275 is 1.

Also check out the Least Common Multiple of 89268 and 89275