What is the Greatest Common Factor of 89489 and 89497?

Greatest common factor (GCF) of 89489 and 89497 is 1.

GCF(89489,89497) = 1

We will now calculate the prime factors of 89489 and 89497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89489 and 89497.

How to find the GCF of 89489 and 89497?

We will first find the prime factorization of 89489 and 89497. After we will calculate the factors of 89489 and 89497 and find the biggest common factor number .

Step-1: Prime Factorization of 89489

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

89489 = 109¹ × 821¹

Step-2: Prime Factorization of 89497

Prime factors of 89497 are 31, 2887. Prime factorization of 89497 in exponential form is:

89497 = 31¹ × 2887¹

Step-3: Factors of 89489

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

1, 109, 821

Step-4: Factors of 89497

List of positive integer factors of 89497 that divides 89489 without a remainder.

1, 31, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89489 and 89497. The biggest common factor number is the GCF number.
So the greatest common factor 89489 and 89497 is 1.

Also check out the Least Common Multiple of 89489 and 89497