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 3802, 3808 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3802 and 3808 is 2.
GCF(3802,3808) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3802
2 | 3802 |
1901 | 1901 |
1 |
Prime factors of 3802 are 2,1901. Prime factorization of 3802 in exponential form is:
3802 = 21×19011
Prime Factorization of 3808
2 | 3808 |
2 | 1904 |
2 | 952 |
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 3808 are 2,7,17. Prime factorization of 3808 in exponential form is:
3808 = 25×71×171
∴ So by taking common prime factors GCF of 3802 and 3808 is 2
Factors of 3802
List of positive integer factors of 3802 that divides 3802 without a remainder.
1,2,1901,3802
Factors of 3808
List of positive integer factors of 3808 that divides 3808 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Greatest Common Factor
We found the factors and prime factorization of 3802 and 3808. The biggest common factor number is the GCF number.
So the greatest common factor 3802 and 3808 is 2.
Also check out the Least Common Multiple of 3802 and 3808
(i) The GCF of 3802 and 3808 is associative
GCF of 3802 and 3808 = GCF of 3808 and 3802
1. What is the GCF of 3802 and 3808?
Answer: GCF of 3802 and 3808 is 2.
2. What are the Factors of 3802?
Answer: Factors of 3802 are 1, 2, 1901, 3802. There are 4 integers that are factors of 3802. The greatest factor of 3802 is 3802.
3. What are the Factors of 3808?
Answer: Factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. There are 24 integers that are factors of 3808. The greatest factor of 3808 is 3808.
4. How to Find the GCF of 3802 and 3808?
Answer:
Greatest Common Factor of 3802 and 3808 = 2
Step 1: Find the prime factorization of 3802
3802 = 2 x 1901
Step 2: Find the prime factorization of 3808
3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3802 and 3808 is 2