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 8348, 8352 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8348 and 8352 is 4.
GCF(8348,8352) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8348
2 | 8348 |
2 | 4174 |
2087 | 2087 |
1 |
Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:
8348 = 22×20871
Prime Factorization of 8352
2 | 8352 |
2 | 4176 |
2 | 2088 |
2 | 1044 |
2 | 522 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 8352 are 2,3,29. Prime factorization of 8352 in exponential form is:
8352 = 25×32×291
∴ So by taking common prime factors GCF of 8348 and 8352 is 4
Factors of 8348
List of positive integer factors of 8348 that divides 8348 without a remainder.
1,2,4,2087,4174,8348
Factors of 8352
List of positive integer factors of 8352 that divides 8352 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Greatest Common Factor
We found the factors and prime factorization of 8348 and 8352. The biggest common factor number is the GCF number.
So the greatest common factor 8348 and 8352 is 4.
Also check out the Least Common Multiple of 8348 and 8352
(i) The GCF of 8348 and 8352 is associative
GCF of 8348 and 8352 = GCF of 8352 and 8348
1. What is the GCF of 8348 and 8352?
Answer: GCF of 8348 and 8352 is 4.
2. What are the Factors of 8348?
Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.
3. What are the Factors of 8352?
Answer: Factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352. There are 36 integers that are factors of 8352. The greatest factor of 8352 is 8352.
4. How to Find the GCF of 8348 and 8352?
Answer:
Greatest Common Factor of 8348 and 8352 = 4
Step 1: Find the prime factorization of 8348
8348 = 2 x 2 x 2087
Step 2: Find the prime factorization of 8352
8352 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29
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 8348 and 8352 is 4