What is the Greatest Common Factor of 14569 and 14577?

Greatest common factor (GCF) of 14569 and 14577 is 1.

GCF(14569,14577) = 1

We will now calculate the prime factors of 14569 and 14577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14569 and 14577.

How to find the GCF of 14569 and 14577?

We will first find the prime factorization of 14569 and 14577. After we will calculate the factors of 14569 and 14577 and find the biggest common factor number .

Step-1: Prime Factorization of 14569

Prime factors of 14569 are 17, 857. Prime factorization of 14569 in exponential form is:

14569 = 17¹ × 857¹

Step-2: Prime Factorization of 14577

Prime factors of 14577 are 3, 43, 113. Prime factorization of 14577 in exponential form is:

14577 = 3¹ × 43¹ × 113¹

Step-3: Factors of 14569

List of positive integer factors of 14569 that divides 14569 without a remainder.

1, 17, 857

Step-4: Factors of 14577

List of positive integer factors of 14577 that divides 14569 without a remainder.

1, 3, 43, 113, 129, 339, 4859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14569 and 14577. The biggest common factor number is the GCF number.
So the greatest common factor 14569 and 14577 is 1.

Also check out the Least Common Multiple of 14569 and 14577