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 7426, 7431 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7426 and 7431 is 1.
GCF(7426,7431) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7426
2 | 7426 |
47 | 3713 |
79 | 79 |
1 |
Prime factors of 7426 are 2,47,79. Prime factorization of 7426 in exponential form is:
7426 = 21×471×791
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
∴ So by taking common prime factors GCF of 7426 and 7431 is 1
Factors of 7426
List of positive integer factors of 7426 that divides 7426 without a remainder.
1,2,47,79,94,158,3713,7426
Factors of 7431
List of positive integer factors of 7431 that divides 7431 without a remainder.
1,3,2477,7431
Greatest Common Factor
We found the factors and prime factorization of 7426 and 7431. The biggest common factor number is the GCF number.
So the greatest common factor 7426 and 7431 is 1.
Also check out the Least Common Multiple of 7426 and 7431
(i) The GCF of 7426 and 7431 is associative
GCF of 7426 and 7431 = GCF of 7431 and 7426
1. What is the GCF of 7426 and 7431?
Answer: GCF of 7426 and 7431 is 1.
2. What are the Factors of 7426?
Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.
3. 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.
4. How to Find the GCF of 7426 and 7431?
Answer:
Greatest Common Factor of 7426 and 7431 = 1
Step 1: Find the prime factorization of 7426
7426 = 2 x 47 x 79
Step 2: Find the prime factorization of 7431
7431 = 3 x 2477
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 7426 and 7431 is 1