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 7436, 7439 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7436 and 7439 is 1.
GCF(7436,7439) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7436
2 | 7436 |
2 | 3718 |
11 | 1859 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 7436 are 2,11,13. Prime factorization of 7436 in exponential form is:
7436 = 22×111×132
Prime Factorization of 7439
43 | 7439 |
173 | 173 |
1 |
Prime factors of 7439 are 43,173. Prime factorization of 7439 in exponential form is:
7439 = 431×1731
∴ So by taking common prime factors GCF of 7436 and 7439 is 1
Factors of 7436
List of positive integer factors of 7436 that divides 7436 without a remainder.
1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436
Factors of 7439
List of positive integer factors of 7439 that divides 7439 without a remainder.
1,43,173,7439
Greatest Common Factor
We found the factors and prime factorization of 7436 and 7439. The biggest common factor number is the GCF number.
So the greatest common factor 7436 and 7439 is 1.
Also check out the Least Common Multiple of 7436 and 7439
(i) The GCF of 7436 and 7439 is associative
GCF of 7436 and 7439 = GCF of 7439 and 7436
1. What is the GCF of 7436 and 7439?
Answer: GCF of 7436 and 7439 is 1.
2. What are the Factors of 7436?
Answer: Factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436. There are 18 integers that are factors of 7436. The greatest factor of 7436 is 7436.
3. What are the Factors of 7439?
Answer: Factors of 7439 are 1, 43, 173, 7439. There are 4 integers that are factors of 7439. The greatest factor of 7439 is 7439.
4. How to Find the GCF of 7436 and 7439?
Answer:
Greatest Common Factor of 7436 and 7439 = 1
Step 1: Find the prime factorization of 7436
7436 = 2 x 2 x 11 x 13 x 13
Step 2: Find the prime factorization of 7439
7439 = 43 x 173
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 7436 and 7439 is 1