Greatest Common Factor of 13237 and 13242

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 13237, 13242 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13237 and 13242 is 1.

GCF(13237,13242) = 1

GCF of 13237 and 13242

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

GCF of:
and

Greatest Common Factor of 13237 and 13242

GCF of 13237 and 13242 is 1

Prime Factorization of 13237


7 13237
31 1891
61 61
1

Prime factors of 13237 are 7,31,61. Prime factorization of 13237 in exponential form is:

13237 = 71×311×611

Prime Factorization of 13242


2 13242
3 6621
2207 2207
1

Prime factors of 13242 are 2,3,2207. Prime factorization of 13242 in exponential form is:

13242 = 21×31×22071

∴ So by taking common prime factors GCF of 13237 and 13242 is 1

Greatest Common Factor of 13237 and 13242 by matching factors method

Factors of 13237

List of positive integer factors of 13237 that divides 13237 without a remainder.

1,7,31,61,217,427,1891,13237

Factors of 13242

List of positive integer factors of 13242 that divides 13242 without a remainder.

1,2,3,6,2207,4414,6621,13242

Greatest Common Factor

We found the factors and prime factorization of 13237 and 13242. The biggest common factor number is the GCF number.
So the greatest common factor 13237 and 13242 is 1.

Also check out the Least Common Multiple of 13237 and 13242

Properties of GCF 13237 and 13242

(i) The GCF of 13237 and 13242 is associative

GCF of 13237 and 13242 = GCF of 13242 and 13237

Related Greatest Common Factor of 13237

Related Greatest Common Factor of 13242

Frequently Asked Questions on GCF of 13237 and 13242

1. What is the GCF of 13237 and 13242?

Answer: GCF of 13237 and 13242 is 1.

2. What are the Factors of 13237?

Answer: Factors of 13237 are 1, 7, 31, 61, 217, 427, 1891, 13237. There are 8 integers that are factors of 13237. The greatest factor of 13237 is 13237.

3. What are the Factors of 13242?

Answer: Factors of 13242 are 1, 2, 3, 6, 2207, 4414, 6621, 13242. There are 8 integers that are factors of 13242. The greatest factor of 13242 is 13242.

4. How to Find the GCF of 13237 and 13242?

Answer:

Greatest Common Factor of 13237 and 13242 = 1

Step 1: Find the prime factorization of 13237

13237 = 7 x 31 x 61

Step 2: Find the prime factorization of 13242

13242 = 2 x 3 x 2207

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 13237 and 13242 is 1