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 3097, 3100 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3097 and 3100 is 1.
GCF(3097,3100) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3097
19 | 3097 |
163 | 163 |
1 |
Prime factors of 3097 are 19,163. Prime factorization of 3097 in exponential form is:
3097 = 191×1631
Prime Factorization of 3100
2 | 3100 |
2 | 1550 |
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 3100 are 2,5,31. Prime factorization of 3100 in exponential form is:
3100 = 22×52×311
∴ So by taking common prime factors GCF of 3097 and 3100 is 1
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1,19,163,3097
Factors of 3100
List of positive integer factors of 3100 that divides 3100 without a remainder.
1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Greatest Common Factor
We found the factors and prime factorization of 3097 and 3100. The biggest common factor number is the GCF number.
So the greatest common factor 3097 and 3100 is 1.
Also check out the Least Common Multiple of 3097 and 3100
(i) The GCF of 3097 and 3100 is associative
GCF of 3097 and 3100 = GCF of 3100 and 3097
1. What is the GCF of 3097 and 3100?
Answer: GCF of 3097 and 3100 is 1.
2. What are the Factors of 3097?
Answer: Factors of 3097 are 1, 19, 163, 3097. There are 4 integers that are factors of 3097. The greatest factor of 3097 is 3097.
3. What are the Factors of 3100?
Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.
4. How to Find the GCF of 3097 and 3100?
Answer:
Greatest Common Factor of 3097 and 3100 = 1
Step 1: Find the prime factorization of 3097
3097 = 19 x 163
Step 2: Find the prime factorization of 3100
3100 = 2 x 2 x 5 x 5 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3097 and 3100 is 1