What is the Greatest Common Factor of 10605 and 10613?

Greatest common factor (GCF) of 10605 and 10613 is 1.

GCF(10605,10613) = 1

We will now calculate the prime factors of 10605 and 10613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10605 and 10613.

How to find the GCF of 10605 and 10613?

We will first find the prime factorization of 10605 and 10613. After we will calculate the factors of 10605 and 10613 and find the biggest common factor number .

Step-1: Prime Factorization of 10605

Prime factors of 10605 are 3, 5, 7, 101. Prime factorization of 10605 in exponential form is:

10605 = 3¹ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 10613

Prime factors of 10613 are 10613. Prime factorization of 10613 in exponential form is:

10613 = 10613¹

Step-3: Factors of 10605

List of positive integer factors of 10605 that divides 10605 without a remainder.

1, 3, 5, 7, 15, 21, 35, 101, 105, 303, 505, 707, 1515, 2121, 3535

Step-4: Factors of 10613

List of positive integer factors of 10613 that divides 10605 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10605 and 10613. The biggest common factor number is the GCF number.
So the greatest common factor 10605 and 10613 is 1.

Also check out the Least Common Multiple of 10605 and 10613