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 8373, 8376 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8373 and 8376 is 3.
GCF(8373,8376) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8373
3 | 8373 |
2791 | 2791 |
1 |
Prime factors of 8373 are 3,2791. Prime factorization of 8373 in exponential form is:
8373 = 31×27911
Prime Factorization of 8376
2 | 8376 |
2 | 4188 |
2 | 2094 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 8376 are 2,3,349. Prime factorization of 8376 in exponential form is:
8376 = 23×31×3491
∴ So by taking common prime factors GCF of 8373 and 8376 is 3
Factors of 8373
List of positive integer factors of 8373 that divides 8373 without a remainder.
1,3,2791,8373
Factors of 8376
List of positive integer factors of 8376 that divides 8376 without a remainder.
1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Greatest Common Factor
We found the factors and prime factorization of 8373 and 8376. The biggest common factor number is the GCF number.
So the greatest common factor 8373 and 8376 is 3.
Also check out the Least Common Multiple of 8373 and 8376
(i) The GCF of 8373 and 8376 is associative
GCF of 8373 and 8376 = GCF of 8376 and 8373
1. What is the GCF of 8373 and 8376?
Answer: GCF of 8373 and 8376 is 3.
2. What are the Factors of 8373?
Answer: Factors of 8373 are 1, 3, 2791, 8373. There are 4 integers that are factors of 8373. The greatest factor of 8373 is 8373.
3. What are the Factors of 8376?
Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.
4. How to Find the GCF of 8373 and 8376?
Answer:
Greatest Common Factor of 8373 and 8376 = 3
Step 1: Find the prime factorization of 8373
8373 = 3 x 2791
Step 2: Find the prime factorization of 8376
8376 = 2 x 2 x 2 x 3 x 349
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8373 and 8376 is 3