What is the Greatest Common Factor of 10469 and 10477?

Greatest common factor (GCF) of 10469 and 10477 is 1.

GCF(10469,10477) = 1

We will now calculate the prime factors of 10469 and 10477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10469 and 10477.

How to find the GCF of 10469 and 10477?

We will first find the prime factorization of 10469 and 10477. After we will calculate the factors of 10469 and 10477 and find the biggest common factor number .

Step-1: Prime Factorization of 10469

Prime factors of 10469 are 19, 29. Prime factorization of 10469 in exponential form is:

10469 = 19² × 29¹

Step-2: Prime Factorization of 10477

Prime factors of 10477 are 10477. Prime factorization of 10477 in exponential form is:

10477 = 10477¹

Step-3: Factors of 10469

List of positive integer factors of 10469 that divides 10469 without a remainder.

1, 19, 29, 361, 551

Step-4: Factors of 10477

List of positive integer factors of 10477 that divides 10469 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10469 and 10477. The biggest common factor number is the GCF number.
So the greatest common factor 10469 and 10477 is 1.

Also check out the Least Common Multiple of 10469 and 10477