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 7313, 7316 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7313 and 7316 is 1.
GCF(7313,7316) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7313
71 | 7313 |
103 | 103 |
1 |
Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:
7313 = 711×1031
Prime Factorization of 7316
2 | 7316 |
2 | 3658 |
31 | 1829 |
59 | 59 |
1 |
Prime factors of 7316 are 2,31,59. Prime factorization of 7316 in exponential form is:
7316 = 22×311×591
∴ So by taking common prime factors GCF of 7313 and 7316 is 1
Factors of 7313
List of positive integer factors of 7313 that divides 7313 without a remainder.
1,71,103,7313
Factors of 7316
List of positive integer factors of 7316 that divides 7316 without a remainder.
1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors and prime factorization of 7313 and 7316. The biggest common factor number is the GCF number.
So the greatest common factor 7313 and 7316 is 1.
Also check out the Least Common Multiple of 7313 and 7316
(i) The GCF of 7313 and 7316 is associative
GCF of 7313 and 7316 = GCF of 7316 and 7313
1. What is the GCF of 7313 and 7316?
Answer: GCF of 7313 and 7316 is 1.
2. What are the Factors of 7313?
Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.
3. What are the Factors of 7316?
Answer: Factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316. There are 12 integers that are factors of 7316. The greatest factor of 7316 is 7316.
4. How to Find the GCF of 7313 and 7316?
Answer:
Greatest Common Factor of 7313 and 7316 = 1
Step 1: Find the prime factorization of 7313
7313 = 71 x 103
Step 2: Find the prime factorization of 7316
7316 = 2 x 2 x 31 x 59
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 7313 and 7316 is 1