What is the Greatest Common Factor of 89309 and 89317?

Greatest common factor (GCF) of 89309 and 89317 is 1.

GCF(89309,89317) = 1

We will now calculate the prime factors of 89309 and 89317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89309 and 89317.

How to find the GCF of 89309 and 89317?

We will first find the prime factorization of 89309 and 89317. After we will calculate the factors of 89309 and 89317 and find the biggest common factor number .

Step-1: Prime Factorization of 89309

Prime factors of 89309 are 11, 23, 353. Prime factorization of 89309 in exponential form is:

89309 = 11¹ × 23¹ × 353¹

Step-2: Prime Factorization of 89317

Prime factors of 89317 are 89317. Prime factorization of 89317 in exponential form is:

89317 = 89317¹

Step-3: Factors of 89309

List of positive integer factors of 89309 that divides 89309 without a remainder.

1, 11, 23, 253, 353, 3883, 8119

Step-4: Factors of 89317

List of positive integer factors of 89317 that divides 89309 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89309 and 89317. The biggest common factor number is the GCF number.
So the greatest common factor 89309 and 89317 is 1.

Also check out the Least Common Multiple of 89309 and 89317