What is the Greatest Common Factor of 10283 and 10289?

Greatest common factor (GCF) of 10283 and 10289 is 1.

GCF(10283,10289) = 1

We will now calculate the prime factors of 10283 and 10289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10283 and 10289.

How to find the GCF of 10283 and 10289?

We will first find the prime factorization of 10283 and 10289. After we will calculate the factors of 10283 and 10289 and find the biggest common factor number .

Step-1: Prime Factorization of 10283

Prime factors of 10283 are 7, 13, 113. Prime factorization of 10283 in exponential form is:

10283 = 7¹ × 13¹ × 113¹

Step-2: Prime Factorization of 10289

Prime factors of 10289 are 10289. Prime factorization of 10289 in exponential form is:

10289 = 10289¹

Step-3: Factors of 10283

List of positive integer factors of 10283 that divides 10283 without a remainder.

1, 7, 13, 91, 113, 791, 1469

Step-4: Factors of 10289

List of positive integer factors of 10289 that divides 10283 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10283 and 10289. The biggest common factor number is the GCF number.
So the greatest common factor 10283 and 10289 is 1.

Also check out the Least Common Multiple of 10283 and 10289