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 7431, 7436 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7431 and 7436 is 1.
GCF(7431,7436) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7431
3 | 7431 |
2477 | 2477 |
1 |
Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:
7431 = 31×24771
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
∴ So by taking common prime factors GCF of 7431 and 7436 is 1
Factors of 7431
List of positive integer factors of 7431 that divides 7431 without a remainder.
1,3,2477,7431
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
Greatest Common Factor
We found the factors and prime factorization of 7431 and 7436. The biggest common factor number is the GCF number.
So the greatest common factor 7431 and 7436 is 1.
Also check out the Least Common Multiple of 7431 and 7436
(i) The GCF of 7431 and 7436 is associative
GCF of 7431 and 7436 = GCF of 7436 and 7431
1. What is the GCF of 7431 and 7436?
Answer: GCF of 7431 and 7436 is 1.
2. What are the Factors of 7431?
Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.
3. 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.
4. How to Find the GCF of 7431 and 7436?
Answer:
Greatest Common Factor of 7431 and 7436 = 1
Step 1: Find the prime factorization of 7431
7431 = 3 x 2477
Step 2: Find the prime factorization of 7436
7436 = 2 x 2 x 11 x 13 x 13
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 7431 and 7436 is 1