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 7441, 7445 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7441 and 7445 is 1.
GCF(7441,7445) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7445
5 | 7445 |
1489 | 1489 |
1 |
Prime factors of 7445 are 5,1489. Prime factorization of 7445 in exponential form is:
7445 = 51×14891
∴ So by taking common prime factors GCF of 7441 and 7445 is 1
Factors of 7441
List of positive integer factors of 7441 that divides 7441 without a remainder.
1,7,1063,7441
Factors of 7445
List of positive integer factors of 7445 that divides 7445 without a remainder.
1,5,1489,7445
Greatest Common Factor
We found the factors and prime factorization of 7441 and 7445. The biggest common factor number is the GCF number.
So the greatest common factor 7441 and 7445 is 1.
Also check out the Least Common Multiple of 7441 and 7445
(i) The GCF of 7441 and 7445 is associative
GCF of 7441 and 7445 = GCF of 7445 and 7441
1. What is the GCF of 7441 and 7445?
Answer: GCF of 7441 and 7445 is 1.
2. 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.
3. What are the Factors of 7445?
Answer: Factors of 7445 are 1, 5, 1489, 7445. There are 4 integers that are factors of 7445. The greatest factor of 7445 is 7445.
4. How to Find the GCF of 7441 and 7445?
Answer:
Greatest Common Factor of 7441 and 7445 = 1
Step 1: Find the prime factorization of 7441
7441 = 7 x 1063
Step 2: Find the prime factorization of 7445
7445 = 5 x 1489
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 7441 and 7445 is 1