Greatest Common Factor of 13437 and 13442

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 13437, 13442 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13437 and 13442 is 1.

GCF(13437,13442) = 1

GCF of 13437 and 13442

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

GCF of:
and

Greatest Common Factor of 13437 and 13442

GCF of 13437 and 13442 is 1

Prime Factorization of 13437


3 13437
3 4479
1493 1493
1

Prime factors of 13437 are 3,1493. Prime factorization of 13437 in exponential form is:

13437 = 32×14931

Prime Factorization of 13442


2 13442
11 6721
13 611
47 47
1

Prime factors of 13442 are 2,11,13,47. Prime factorization of 13442 in exponential form is:

13442 = 21×111×131×471

∴ So by taking common prime factors GCF of 13437 and 13442 is 1

Greatest Common Factor of 13437 and 13442 by matching factors method

Factors of 13437

List of positive integer factors of 13437 that divides 13437 without a remainder.

1,3,9,1493,4479,13437

Factors of 13442

List of positive integer factors of 13442 that divides 13442 without a remainder.

1,2,11,13,22,26,47,94,143,286,517,611,1034,1222,6721,13442

Greatest Common Factor

We found the factors and prime factorization of 13437 and 13442. The biggest common factor number is the GCF number.
So the greatest common factor 13437 and 13442 is 1.

Also check out the Least Common Multiple of 13437 and 13442

Properties of GCF 13437 and 13442

(i) The GCF of 13437 and 13442 is associative

GCF of 13437 and 13442 = GCF of 13442 and 13437

Frequently Asked Questions on GCF of 13437 and 13442

1. What is the GCF of 13437 and 13442?

Answer: GCF of 13437 and 13442 is 1.

2. What are the Factors of 13437?

Answer: Factors of 13437 are 1, 3, 9, 1493, 4479, 13437. There are 6 integers that are factors of 13437. The greatest factor of 13437 is 13437.

3. What are the Factors of 13442?

Answer: Factors of 13442 are 1, 2, 11, 13, 22, 26, 47, 94, 143, 286, 517, 611, 1034, 1222, 6721, 13442. There are 16 integers that are factors of 13442. The greatest factor of 13442 is 13442.

4. How to Find the GCF of 13437 and 13442?

Answer:

Greatest Common Factor of 13437 and 13442 = 1

Step 1: Find the prime factorization of 13437

13437 = 3 x 3 x 1493

Step 2: Find the prime factorization of 13442

13442 = 2 x 11 x 13 x 47

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 13437 and 13442 is 1