What is the Greatest Common Factor of 89084 and 89103?

Greatest common factor (GCF) of 89084 and 89103 is 1.

GCF(89084,89103) = 1

We will now calculate the prime factors of 89084 and 89103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89084 and 89103.

How to find the GCF of 89084 and 89103?

We will first find the prime factorization of 89084 and 89103. After we will calculate the factors of 89084 and 89103 and find the biggest common factor number .

Step-1: Prime Factorization of 89084

Prime factors of 89084 are 2, 22271. Prime factorization of 89084 in exponential form is:

89084 = 2² × 22271¹

Step-2: Prime Factorization of 89103

Prime factors of 89103 are 3, 7, 4243. Prime factorization of 89103 in exponential form is:

89103 = 3¹ × 7¹ × 4243¹

Step-3: Factors of 89084

List of positive integer factors of 89084 that divides 89084 without a remainder.

1, 2, 4, 22271, 44542

Step-4: Factors of 89103

List of positive integer factors of 89103 that divides 89084 without a remainder.

1, 3, 7, 21, 4243, 12729, 29701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89084 and 89103. The biggest common factor number is the GCF number.
So the greatest common factor 89084 and 89103 is 1.

Also check out the Least Common Multiple of 89084 and 89103