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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 13437 and 13442 is associative
GCF of 13437 and 13442 = GCF of 13442 and 13437
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