Greatest Common Factor of 13337 and 13345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 13337, 13345 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13337 and 13345 is 1.

GCF(13337,13345) = 1

GCF of 13337 and 13345

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 13337 and 13345

GCF of 13337 and 13345 is 1

Prime Factorization of 13337


13337 13337
1

Prime factors of 13337 are 13337. Prime factorization of 13337 in exponential form is:

13337 = 133371

Prime Factorization of 13345


5 13345
17 2669
157 157
1

Prime factors of 13345 are 5.Prime factorization of 13345 in exponential form is:

13345 = 51×171×1571

∴ So by taking common prime factors GCF of 13337 and 13345 is 1

Greatest Common Factor of 13337 and 13345 by matching factors method

Factors of 13337

List of positive integer factors of 13337 that divides 13337 without a remainder.

1,13337

Factors of 13345

List of positive integer factors of 13345 that divides 13345 without a remainder.

1,5,17,85,157,785,2669,13345

Greatest Common Factor

We found the factors and prime factorization of 13337 and 13345. The biggest common factor number is the GCF number.
So the greatest common factor 13337 and 13345 is 1.

Also check out the Least Common Multiple of 13337 and 13345

Properties of GCF 13337 and 13345

(i) The GCF of 13337 and 13345 is associative

GCF of 13337 and 13345 = GCF of 13345 and 13337

Related Greatest Common Factor of 13337

Related Greatest Common Factor of 13345

Frequently Asked Questions on GCF of 13337 and 13345

1. What is the GCF of 13337 and 13345?

Answer: GCF of 13337 and 13345 is 1.

2. What are the Factors of 13337?

Answer: Factors of 13337 are 1, 13337. There are 2 integers that are factors of 13337. The greatest factor of 13337 is 13337.

3. What are the Factors of 13345?

Answer: Factors of 13345 are 1, 5, 17, 85, 157, 785, 2669, 13345. There are 8 integers that are factors of 13345. The greatest factor of 13345 is 13345.

4. How to Find the GCF of 13337 and 13345?

Answer:

Greatest Common Factor of 13337 and 13345 = 1

Step 1: Find the prime factorization of 13337

13337 = 13337

Step 2: Find the prime factorization of 13345

13345 = 5 x 17 x 157

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 13337 and 13345 is 1