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 3098, 3104 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3098 and 3104 is 2.
GCF(3098,3104) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3098
2 | 3098 |
1549 | 1549 |
1 |
Prime factors of 3098 are 2,1549. Prime factorization of 3098 in exponential form is:
3098 = 21×15491
Prime Factorization of 3104
2 | 3104 |
2 | 1552 |
2 | 776 |
2 | 388 |
2 | 194 |
97 | 97 |
1 |
Prime factors of 3104 are 2,97. Prime factorization of 3104 in exponential form is:
3104 = 25×971
∴ So by taking common prime factors GCF of 3098 and 3104 is 2
Factors of 3098
List of positive integer factors of 3098 that divides 3098 without a remainder.
1,2,1549,3098
Factors of 3104
List of positive integer factors of 3104 that divides 3104 without a remainder.
1,2,4,8,16,32,97,194,388,776,1552,3104
Greatest Common Factor
We found the factors and prime factorization of 3098 and 3104. The biggest common factor number is the GCF number.
So the greatest common factor 3098 and 3104 is 2.
Also check out the Least Common Multiple of 3098 and 3104
(i) The GCF of 3098 and 3104 is associative
GCF of 3098 and 3104 = GCF of 3104 and 3098
1. What is the GCF of 3098 and 3104?
Answer: GCF of 3098 and 3104 is 2.
2. What are the Factors of 3098?
Answer: Factors of 3098 are 1, 2, 1549, 3098. There are 4 integers that are factors of 3098. The greatest factor of 3098 is 3098.
3. What are the Factors of 3104?
Answer: Factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104. There are 12 integers that are factors of 3104. The greatest factor of 3104 is 3104.
4. How to Find the GCF of 3098 and 3104?
Answer:
Greatest Common Factor of 3098 and 3104 = 2
Step 1: Find the prime factorization of 3098
3098 = 2 x 1549
Step 2: Find the prime factorization of 3104
3104 = 2 x 2 x 2 x 2 x 2 x 97
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 3098 and 3104 is 2