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 3154, 3155 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3154 and 3155 is 1.
GCF(3154,3155) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3154
2 | 3154 |
19 | 1577 |
83 | 83 |
1 |
Prime factors of 3154 are 2,19,83. Prime factorization of 3154 in exponential form is:
3154 = 21×191×831
Prime Factorization of 3155
5 | 3155 |
631 | 631 |
1 |
Prime factors of 3155 are 5,631. Prime factorization of 3155 in exponential form is:
3155 = 51×6311
∴ So by taking common prime factors GCF of 3154 and 3155 is 1
Factors of 3154
List of positive integer factors of 3154 that divides 3154 without a remainder.
1,2,19,38,83,166,1577,3154
Factors of 3155
List of positive integer factors of 3155 that divides 3155 without a remainder.
1,5,631,3155
Greatest Common Factor
We found the factors and prime factorization of 3154 and 3155. The biggest common factor number is the GCF number.
So the greatest common factor 3154 and 3155 is 1.
Also check out the Least Common Multiple of 3154 and 3155
(i) The GCF of 3154 and 3155 is associative
GCF of 3154 and 3155 = GCF of 3155 and 3154
1. What is the GCF of 3154 and 3155?
Answer: GCF of 3154 and 3155 is 1.
2. What are the Factors of 3154?
Answer: Factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154. There are 8 integers that are factors of 3154. The greatest factor of 3154 is 3154.
3. What are the Factors of 3155?
Answer: Factors of 3155 are 1, 5, 631, 3155. There are 4 integers that are factors of 3155. The greatest factor of 3155 is 3155.
4. How to Find the GCF of 3154 and 3155?
Answer:
Greatest Common Factor of 3154 and 3155 = 1
Step 1: Find the prime factorization of 3154
3154 = 2 x 19 x 83
Step 2: Find the prime factorization of 3155
3155 = 5 x 631
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 3154 and 3155 is 1