Greatest Common Factor of 13217 and 13222

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 13217, 13222 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13217 and 13222 is 1.

GCF(13217,13222) = 1

GCF of 13217 and 13222

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

GCF of:
and

Greatest Common Factor of 13217 and 13222

GCF of 13217 and 13222 is 1

Prime Factorization of 13217


13217 13217
1

Prime factors of 13217 are 13217. Prime factorization of 13217 in exponential form is:

13217 = 132171

Prime Factorization of 13222


2 13222
11 6611
601 601
1

Prime factors of 13222 are 2.Prime factorization of 13222 in exponential form is:

13222 = 21×111×6011

∴ So by taking common prime factors GCF of 13217 and 13222 is 1

Greatest Common Factor of 13217 and 13222 by matching factors method

Factors of 13217

List of positive integer factors of 13217 that divides 13217 without a remainder.

1,13217

Factors of 13222

List of positive integer factors of 13222 that divides 13222 without a remainder.

1,2,11,22,601,1202,6611,13222

Greatest Common Factor

We found the factors and prime factorization of 13217 and 13222. The biggest common factor number is the GCF number.
So the greatest common factor 13217 and 13222 is 1.

Also check out the Least Common Multiple of 13217 and 13222

Properties of GCF 13217 and 13222

(i) The GCF of 13217 and 13222 is associative

GCF of 13217 and 13222 = GCF of 13222 and 13217

Related Greatest Common Factor of 13217

Related Greatest Common Factor of 13222

Frequently Asked Questions on GCF of 13217 and 13222

1. What is the GCF of 13217 and 13222?

Answer: GCF of 13217 and 13222 is 1.

2. What are the Factors of 13217?

Answer: Factors of 13217 are 1, 13217. There are 2 integers that are factors of 13217. The greatest factor of 13217 is 13217.

3. What are the Factors of 13222?

Answer: Factors of 13222 are 1, 2, 11, 22, 601, 1202, 6611, 13222. There are 8 integers that are factors of 13222. The greatest factor of 13222 is 13222.

4. How to Find the GCF of 13217 and 13222?

Answer:

Greatest Common Factor of 13217 and 13222 = 1

Step 1: Find the prime factorization of 13217

13217 = 13217

Step 2: Find the prime factorization of 13222

13222 = 2 x 11 x 601

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 13217 and 13222 is 1