What is the Greatest Common Factor of 89470 and 89489?

Greatest common factor (GCF) of 89470 and 89489 is 1.

GCF(89470,89489) = 1

We will now calculate the prime factors of 89470 and 89489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89470 and 89489.

How to find the GCF of 89470 and 89489?

We will first find the prime factorization of 89470 and 89489. After we will calculate the factors of 89470 and 89489 and find the biggest common factor number .

Step-1: Prime Factorization of 89470

Prime factors of 89470 are 2, 5, 23, 389. Prime factorization of 89470 in exponential form is:

89470 = 2¹ × 5¹ × 23¹ × 389¹

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 89470

List of positive integer factors of 89470 that divides 89470 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 389, 778, 1945, 3890, 8947, 17894, 44735

Step-4: Factors of 89489

List of positive integer factors of 89489 that divides 89470 without a remainder.

1, 109, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89470 and 89489. The biggest common factor number is the GCF number.
So the greatest common factor 89470 and 89489 is 1.

Also check out the Least Common Multiple of 89470 and 89489