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 7319, 7322 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7319 and 7322 is 1.
GCF(7319,7322) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7319
13 | 7319 |
563 | 563 |
1 |
Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:
7319 = 131×5631
Prime Factorization of 7322
2 | 7322 |
7 | 3661 |
523 | 523 |
1 |
Prime factors of 7322 are 2,7,523. Prime factorization of 7322 in exponential form is:
7322 = 21×71×5231
∴ So by taking common prime factors GCF of 7319 and 7322 is 1
Factors of 7319
List of positive integer factors of 7319 that divides 7319 without a remainder.
1,13,563,7319
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors and prime factorization of 7319 and 7322. The biggest common factor number is the GCF number.
So the greatest common factor 7319 and 7322 is 1.
Also check out the Least Common Multiple of 7319 and 7322
(i) The GCF of 7319 and 7322 is associative
GCF of 7319 and 7322 = GCF of 7322 and 7319
1. What is the GCF of 7319 and 7322?
Answer: GCF of 7319 and 7322 is 1.
2. What are the Factors of 7319?
Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.
3. What are the Factors of 7322?
Answer: Factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322. There are 8 integers that are factors of 7322. The greatest factor of 7322 is 7322.
4. How to Find the GCF of 7319 and 7322?
Answer:
Greatest Common Factor of 7319 and 7322 = 1
Step 1: Find the prime factorization of 7319
7319 = 13 x 563
Step 2: Find the prime factorization of 7322
7322 = 2 x 7 x 523
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 7319 and 7322 is 1