What is the Greatest Common Factor of 89471 and 89489?

Greatest common factor (GCF) of 89471 and 89489 is 1.

GCF(89471,89489) = 1

We will now calculate the prime factors of 89471 and 89489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89471 and 89489.

How to find the GCF of 89471 and 89489?

We will first find the prime factorization of 89471 and 89489. After we will calculate the factors of 89471 and 89489 and find the biggest common factor number .

Step-1: Prime Factorization of 89471

Prime factors of 89471 are 17, 19, 277. Prime factorization of 89471 in exponential form is:

89471 = 17¹ × 19¹ × 277¹

Step-2: Prime Factorization of 89489

Prime factors of 89489 are 109, 821. Prime factorization of 89489 in exponential form is:

89489 = 109¹ × 821¹

Step-3: Factors of 89471

List of positive integer factors of 89471 that divides 89471 without a remainder.

1, 17, 19, 277, 323, 4709, 5263

Step-4: Factors of 89489

List of positive integer factors of 89489 that divides 89471 without a remainder.

1, 109, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89471 and 89489. The biggest common factor number is the GCF number.
So the greatest common factor 89471 and 89489 is 1.

Also check out the Least Common Multiple of 89471 and 89489