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, 7430 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7426 and 7430 is 2.
GCF(7426,7430) = 2
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 7430
2 | 7430 |
5 | 3715 |
743 | 743 |
1 |
Prime factors of 7430 are 2,5,743. Prime factorization of 7430 in exponential form is:
7430 = 21×51×7431
∴ So by taking common prime factors GCF of 7426 and 7430 is 2
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 7430
List of positive integer factors of 7430 that divides 7430 without a remainder.
1,2,5,10,743,1486,3715,7430
Greatest Common Factor
We found the factors and prime factorization of 7426 and 7430. The biggest common factor number is the GCF number.
So the greatest common factor 7426 and 7430 is 2.
Also check out the Least Common Multiple of 7426 and 7430
(i) The GCF of 7426 and 7430 is associative
GCF of 7426 and 7430 = GCF of 7430 and 7426
1. What is the GCF of 7426 and 7430?
Answer: GCF of 7426 and 7430 is 2.
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 7430?
Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.
4. How to Find the GCF of 7426 and 7430?
Answer:
Greatest Common Factor of 7426 and 7430 = 2
Step 1: Find the prime factorization of 7426
7426 = 2 x 47 x 79
Step 2: Find the prime factorization of 7430
7430 = 2 x 5 x 743
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7426 and 7430 is 2