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, 3162 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3154 and 3162 is 2.
GCF(3154,3162) = 2
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 3162
2 | 3162 |
3 | 1581 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 3162 are 2,3,17,31. Prime factorization of 3162 in exponential form is:
3162 = 21×31×171×311
∴ So by taking common prime factors GCF of 3154 and 3162 is 2
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 3162
List of positive integer factors of 3162 that divides 3162 without a remainder.
1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors and prime factorization of 3154 and 3162. The biggest common factor number is the GCF number.
So the greatest common factor 3154 and 3162 is 2.
Also check out the Least Common Multiple of 3154 and 3162
(i) The GCF of 3154 and 3162 is associative
GCF of 3154 and 3162 = GCF of 3162 and 3154
1. What is the GCF of 3154 and 3162?
Answer: GCF of 3154 and 3162 is 2.
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 3162?
Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.
4. How to Find the GCF of 3154 and 3162?
Answer:
Greatest Common Factor of 3154 and 3162 = 2
Step 1: Find the prime factorization of 3154
3154 = 2 x 19 x 83
Step 2: Find the prime factorization of 3162
3162 = 2 x 3 x 17 x 31
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 3154 and 3162 is 2