What is the Greatest Common Factor of 13069 and 13073?

Greatest common factor (GCF) of 13069 and 13073 is 1.

GCF(13069,13073) = 1

We will now calculate the prime factors of 13069 and 13073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13069 and 13073.

How to find the GCF of 13069 and 13073?

We will first find the prime factorization of 13069 and 13073. After we will calculate the factors of 13069 and 13073 and find the biggest common factor number .

Step-1: Prime Factorization of 13069

Prime factors of 13069 are 7, 1867. Prime factorization of 13069 in exponential form is:

13069 = 7¹ × 1867¹

Step-2: Prime Factorization of 13073

Prime factors of 13073 are 17, 769. Prime factorization of 13073 in exponential form is:

13073 = 17¹ × 769¹

Step-3: Factors of 13069

List of positive integer factors of 13069 that divides 13069 without a remainder.

1, 7, 1867

Step-4: Factors of 13073

List of positive integer factors of 13073 that divides 13069 without a remainder.

1, 17, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13069 and 13073. The biggest common factor number is the GCF number.
So the greatest common factor 13069 and 13073 is 1.

Also check out the Least Common Multiple of 13069 and 13073