What is the Greatest Common Factor of 89145 and 89164?

Greatest common factor (GCF) of 89145 and 89164 is 1.

GCF(89145,89164) = 1

We will now calculate the prime factors of 89145 and 89164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89145 and 89164.

How to find the GCF of 89145 and 89164?

We will first find the prime factorization of 89145 and 89164. After we will calculate the factors of 89145 and 89164 and find the biggest common factor number .

Step-1: Prime Factorization of 89145

Prime factors of 89145 are 3, 5, 7, 283. Prime factorization of 89145 in exponential form is:

89145 = 3² × 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 89164

Prime factors of 89164 are 2, 22291. Prime factorization of 89164 in exponential form is:

89164 = 2² × 22291¹

Step-3: Factors of 89145

List of positive integer factors of 89145 that divides 89145 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 283, 315, 849, 1415, 1981, 2547, 4245, 5943, 9905, 12735, 17829, 29715

Step-4: Factors of 89164

List of positive integer factors of 89164 that divides 89145 without a remainder.

1, 2, 4, 22291, 44582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89145 and 89164. The biggest common factor number is the GCF number.
So the greatest common factor 89145 and 89164 is 1.

Also check out the Least Common Multiple of 89145 and 89164