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 8376, 8380 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8376 and 8380 is 4.
GCF(8376,8380) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8380
2 | 8380 |
2 | 4190 |
5 | 2095 |
419 | 419 |
1 |
Prime factors of 8380 are 2,5,419. Prime factorization of 8380 in exponential form is:
8380 = 22×51×4191
∴ So by taking common prime factors GCF of 8376 and 8380 is 4
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
Factors of 8380
List of positive integer factors of 8380 that divides 8380 without a remainder.
1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors and prime factorization of 8376 and 8380. The biggest common factor number is the GCF number.
So the greatest common factor 8376 and 8380 is 4.
Also check out the Least Common Multiple of 8376 and 8380
(i) The GCF of 8376 and 8380 is associative
GCF of 8376 and 8380 = GCF of 8380 and 8376
1. What is the GCF of 8376 and 8380?
Answer: GCF of 8376 and 8380 is 4.
2. 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.
3. What are the Factors of 8380?
Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.
4. How to Find the GCF of 8376 and 8380?
Answer:
Greatest Common Factor of 8376 and 8380 = 4
Step 1: Find the prime factorization of 8376
8376 = 2 x 2 x 2 x 3 x 349
Step 2: Find the prime factorization of 8380
8380 = 2 x 2 x 5 x 419
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8376 and 8380 is 4