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 7434, 7441 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7434 and 7441 is 7.
GCF(7434,7441) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7434
2 | 7434 |
3 | 3717 |
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 7434 are 2,3,7,59. Prime factorization of 7434 in exponential form is:
7434 = 21×32×71×591
Prime Factorization of 7441
7 | 7441 |
1063 | 1063 |
1 |
Prime factors of 7441 are 7,1063. Prime factorization of 7441 in exponential form is:
7441 = 71×10631
∴ So by taking common prime factors GCF of 7434 and 7441 is 7
Factors of 7434
List of positive integer factors of 7434 that divides 7434 without a remainder.
1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434
Factors of 7441
List of positive integer factors of 7441 that divides 7441 without a remainder.
1,7,1063,7441
Greatest Common Factor
We found the factors and prime factorization of 7434 and 7441. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7441 is 7.
Also check out the Least Common Multiple of 7434 and 7441
(i) The GCF of 7434 and 7441 is associative
GCF of 7434 and 7441 = GCF of 7441 and 7434
1. What is the GCF of 7434 and 7441?
Answer: GCF of 7434 and 7441 is 7.
2. What are the Factors of 7434?
Answer: Factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434. There are 24 integers that are factors of 7434. The greatest factor of 7434 is 7434.
3. What are the Factors of 7441?
Answer: Factors of 7441 are 1, 7, 1063, 7441. There are 4 integers that are factors of 7441. The greatest factor of 7441 is 7441.
4. How to Find the GCF of 7434 and 7441?
Answer:
Greatest Common Factor of 7434 and 7441 = 7
Step 1: Find the prime factorization of 7434
7434 = 2 x 3 x 3 x 7 x 59
Step 2: Find the prime factorization of 7441
7441 = 7 x 1063
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7434 and 7441 is 7