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 7373, 7378 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7373 and 7378 is 1.
GCF(7373,7378) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7373
73 | 7373 |
101 | 101 |
1 |
Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:
7373 = 731×1011
Prime Factorization of 7378
2 | 7378 |
7 | 3689 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 7378 are 2,7,17,31. Prime factorization of 7378 in exponential form is:
7378 = 21×71×171×311
∴ So by taking common prime factors GCF of 7373 and 7378 is 1
Factors of 7373
List of positive integer factors of 7373 that divides 7373 without a remainder.
1,73,101,7373
Factors of 7378
List of positive integer factors of 7378 that divides 7378 without a remainder.
1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Greatest Common Factor
We found the factors and prime factorization of 7373 and 7378. The biggest common factor number is the GCF number.
So the greatest common factor 7373 and 7378 is 1.
Also check out the Least Common Multiple of 7373 and 7378
(i) The GCF of 7373 and 7378 is associative
GCF of 7373 and 7378 = GCF of 7378 and 7373
1. What is the GCF of 7373 and 7378?
Answer: GCF of 7373 and 7378 is 1.
2. What are the Factors of 7373?
Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.
3. What are the Factors of 7378?
Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.
4. How to Find the GCF of 7373 and 7378?
Answer:
Greatest Common Factor of 7373 and 7378 = 1
Step 1: Find the prime factorization of 7373
7373 = 73 x 101
Step 2: Find the prime factorization of 7378
7378 = 2 x 7 x 17 x 31
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 7373 and 7378 is 1