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 7443, 7448 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7443 and 7448 is 1.
GCF(7443,7448) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7443
3 | 7443 |
3 | 2481 |
827 | 827 |
1 |
Prime factors of 7443 are 3,827. Prime factorization of 7443 in exponential form is:
7443 = 32×8271
Prime Factorization of 7448
2 | 7448 |
2 | 3724 |
2 | 1862 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 7448 are 2,7,19. Prime factorization of 7448 in exponential form is:
7448 = 23×72×191
∴ So by taking common prime factors GCF of 7443 and 7448 is 1
Factors of 7443
List of positive integer factors of 7443 that divides 7443 without a remainder.
1,3,9,827,2481,7443
Factors of 7448
List of positive integer factors of 7448 that divides 7448 without a remainder.
1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Greatest Common Factor
We found the factors and prime factorization of 7443 and 7448. The biggest common factor number is the GCF number.
So the greatest common factor 7443 and 7448 is 1.
Also check out the Least Common Multiple of 7443 and 7448
(i) The GCF of 7443 and 7448 is associative
GCF of 7443 and 7448 = GCF of 7448 and 7443
1. What is the GCF of 7443 and 7448?
Answer: GCF of 7443 and 7448 is 1.
2. What are the Factors of 7443?
Answer: Factors of 7443 are 1, 3, 9, 827, 2481, 7443. There are 6 integers that are factors of 7443. The greatest factor of 7443 is 7443.
3. What are the Factors of 7448?
Answer: Factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448. There are 24 integers that are factors of 7448. The greatest factor of 7448 is 7448.
4. How to Find the GCF of 7443 and 7448?
Answer:
Greatest Common Factor of 7443 and 7448 = 1
Step 1: Find the prime factorization of 7443
7443 = 3 x 3 x 827
Step 2: Find the prime factorization of 7448
7448 = 2 x 2 x 2 x 7 x 7 x 19
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 7443 and 7448 is 1